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Finding the Third Proportional to 29,592 and 63,918

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Solution

The third proportional to 29,592 and 63,918 is: 138,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,592 : 63,918 = 63,918 : x
  2. Step 2: Convert to fraction form
    29,592/63,918 = 63,918/x
  3. Step 3: Cross multiply
    29,592x = 63,918 × 63,918
  4. Step 4: Simplify right side
    29,592x = 4,085,510,724
  5. Step 5: Solve for x
    x = 4,085,510,724/29,592
  6. Step 6: Final answer
    x = 138,061.32

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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.