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Finding the Third Proportional to 14,121.53 and 22,715.75

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Solution

The third proportional to 14,121.53 and 22,715.75 is: 36,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.53 : 22,715.75 = 22,715.75 : x
  2. Step 2: Convert to fraction form
    14,121.53/22,715.75 = 22,715.75/x
  3. Step 3: Cross multiply
    14,121.53x = 22,715.75 × 22,715.75
  4. Step 4: Simplify right side
    14,121.53x = 516,005,475.53
  5. Step 5: Solve for x
    x = 516,005,475.53/14,121.53
  6. Step 6: Final answer
    x = 36,540.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.