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Finding the Third Proportional to 47,044 and 62,716

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Solution

The third proportional to 47,044 and 62,716 is: 83,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,044 : 62,716 = 62,716 : x
  2. Step 2: Convert to fraction form
    47,044/62,716 = 62,716/x
  3. Step 3: Cross multiply
    47,044x = 62,716 × 62,716
  4. Step 4: Simplify right side
    47,044x = 3,933,296,656
  5. Step 5: Solve for x
    x = 3,933,296,656/47,044
  6. Step 6: Final answer
    x = 83,608.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.