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Finding the Third Proportional to 29,461 and 63,592

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Solution

The third proportional to 29,461 and 63,592 is: 137,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461 : 63,592 = 63,592 : x
  2. Step 2: Convert to fraction form
    29,461/63,592 = 63,592/x
  3. Step 3: Cross multiply
    29,461x = 63,592 × 63,592
  4. Step 4: Simplify right side
    29,461x = 4,043,942,464
  5. Step 5: Solve for x
    x = 4,043,942,464/29,461
  6. Step 6: Final answer
    x = 137,264.26

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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.