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Finding the Third Proportional to 39,288 and 58,788

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Solution

The third proportional to 39,288 and 58,788 is: 87,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,288 : 58,788 = 58,788 : x
  2. Step 2: Convert to fraction form
    39,288/58,788 = 58,788/x
  3. Step 3: Cross multiply
    39,288x = 58,788 × 58,788
  4. Step 4: Simplify right side
    39,288x = 3,456,028,944
  5. Step 5: Solve for x
    x = 3,456,028,944/39,288
  6. Step 6: Final answer
    x = 87,966.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.