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Finding the Third Proportional to 42,828 and 62,841

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Solution

The third proportional to 42,828 and 62,841 is: 92,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,828 : 62,841 = 62,841 : x
  2. Step 2: Convert to fraction form
    42,828/62,841 = 62,841/x
  3. Step 3: Cross multiply
    42,828x = 62,841 × 62,841
  4. Step 4: Simplify right side
    42,828x = 3,948,991,281
  5. Step 5: Solve for x
    x = 3,948,991,281/42,828
  6. Step 6: Final answer
    x = 92,205.83

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