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Finding the Third Proportional to 42,028 and 61,806

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Solution

The third proportional to 42,028 and 61,806 is: 90,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,028 : 61,806 = 61,806 : x
  2. Step 2: Convert to fraction form
    42,028/61,806 = 61,806/x
  3. Step 3: Cross multiply
    42,028x = 61,806 × 61,806
  4. Step 4: Simplify right side
    42,028x = 3,819,981,636
  5. Step 5: Solve for x
    x = 3,819,981,636/42,028
  6. Step 6: Final answer
    x = 90,891.35

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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.