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Finding the Third Proportional to 29,397 and 63,440

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Solution

The third proportional to 29,397 and 63,440 is: 136,906.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,397 : 63,440 = 63,440 : x
  2. Step 2: Convert to fraction form
    29,397/63,440 = 63,440/x
  3. Step 3: Cross multiply
    29,397x = 63,440 × 63,440
  4. Step 4: Simplify right side
    29,397x = 4,024,633,600
  5. Step 5: Solve for x
    x = 4,024,633,600/29,397
  6. Step 6: Final answer
    x = 136,906.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.