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Finding the Third Proportional to 41,530 and 62,788

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Solution

The third proportional to 41,530 and 62,788 is: 94,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,530 : 62,788 = 62,788 : x
  2. Step 2: Convert to fraction form
    41,530/62,788 = 62,788/x
  3. Step 3: Cross multiply
    41,530x = 62,788 × 62,788
  4. Step 4: Simplify right side
    41,530x = 3,942,332,944
  5. Step 5: Solve for x
    x = 3,942,332,944/41,530
  6. Step 6: Final answer
    x = 94,927.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.