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Finding the Third Proportional to 29,603 and 63,418

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Solution

The third proportional to 29,603 and 63,418 is: 135,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,603 : 63,418 = 63,418 : x
  2. Step 2: Convert to fraction form
    29,603/63,418 = 63,418/x
  3. Step 3: Cross multiply
    29,603x = 63,418 × 63,418
  4. Step 4: Simplify right side
    29,603x = 4,021,842,724
  5. Step 5: Solve for x
    x = 4,021,842,724/29,603
  6. Step 6: Final answer
    x = 135,859.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.