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Finding the Third Proportional to 29,358 and 61,632

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Solution

The third proportional to 29,358 and 61,632 is: 129,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,358 : 61,632 = 61,632 : x
  2. Step 2: Convert to fraction form
    29,358/61,632 = 61,632/x
  3. Step 3: Cross multiply
    29,358x = 61,632 × 61,632
  4. Step 4: Simplify right side
    29,358x = 3,798,503,424
  5. Step 5: Solve for x
    x = 3,798,503,424/29,358
  6. Step 6: Final answer
    x = 129,385.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.