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Finding the Third Proportional to 29,068 and 61,940

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Solution

The third proportional to 29,068 and 61,940 is: 131,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,068 : 61,940 = 61,940 : x
  2. Step 2: Convert to fraction form
    29,068/61,940 = 61,940/x
  3. Step 3: Cross multiply
    29,068x = 61,940 × 61,940
  4. Step 4: Simplify right side
    29,068x = 3,836,563,600
  5. Step 5: Solve for x
    x = 3,836,563,600/29,068
  6. Step 6: Final answer
    x = 131,985.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.