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Finding the Third Proportional to 13,552.71 and 29,431.24

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Solution

The third proportional to 13,552.71 and 29,431.24 is: 63,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.71 : 29,431.24 = 29,431.24 : x
  2. Step 2: Convert to fraction form
    13,552.71/29,431.24 = 29,431.24/x
  3. Step 3: Cross multiply
    13,552.71x = 29,431.24 × 29,431.24
  4. Step 4: Simplify right side
    13,552.71x = 866,197,844.25
  5. Step 5: Solve for x
    x = 866,197,844.25/13,552.71
  6. Step 6: Final answer
    x = 63,913.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.