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Finding the Third Proportional to 24,072.75 and 35,217.56

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Solution

The third proportional to 24,072.75 and 35,217.56 is: 51,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,072.75 : 35,217.56 = 35,217.56 : x
  2. Step 2: Convert to fraction form
    24,072.75/35,217.56 = 35,217.56/x
  3. Step 3: Cross multiply
    24,072.75x = 35,217.56 × 35,217.56
  4. Step 4: Simplify right side
    24,072.75x = 1,240,276,708.44
  5. Step 5: Solve for x
    x = 1,240,276,708.44/24,072.75
  6. Step 6: Final answer
    x = 51,522.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.