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Finding the Third Proportional to 41,704 and 61,097

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Solution

The third proportional to 41,704 and 61,097 is: 89,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,704 : 61,097 = 61,097 : x
  2. Step 2: Convert to fraction form
    41,704/61,097 = 61,097/x
  3. Step 3: Cross multiply
    41,704x = 61,097 × 61,097
  4. Step 4: Simplify right side
    41,704x = 3,732,843,409
  5. Step 5: Solve for x
    x = 3,732,843,409/41,704
  6. Step 6: Final answer
    x = 89,508.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.