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Finding the Third Proportional to 24,715.75 and 51,184.75

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Solution

The third proportional to 24,715.75 and 51,184.75 is: 106,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,715.75 : 51,184.75 = 51,184.75 : x
  2. Step 2: Convert to fraction form
    24,715.75/51,184.75 = 51,184.75/x
  3. Step 3: Cross multiply
    24,715.75x = 51,184.75 × 51,184.75
  4. Step 4: Simplify right side
    24,715.75x = 2,619,878,632.56
  5. Step 5: Solve for x
    x = 2,619,878,632.56/24,715.75
  6. Step 6: Final answer
    x = 106,000.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.