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Finding the Third Proportional to 29,038 and 63,614

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Solution

The third proportional to 29,038 and 63,614 is: 139,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038 : 63,614 = 63,614 : x
  2. Step 2: Convert to fraction form
    29,038/63,614 = 63,614/x
  3. Step 3: Cross multiply
    29,038x = 63,614 × 63,614
  4. Step 4: Simplify right side
    29,038x = 4,046,740,996
  5. Step 5: Solve for x
    x = 4,046,740,996/29,038
  6. Step 6: Final answer
    x = 139,360.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.