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Finding the Third Proportional to 38,996 and 58,496

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Solution

The third proportional to 38,996 and 58,496 is: 87,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,996 : 58,496 = 58,496 : x
  2. Step 2: Convert to fraction form
    38,996/58,496 = 58,496/x
  3. Step 3: Cross multiply
    38,996x = 58,496 × 58,496
  4. Step 4: Simplify right side
    38,996x = 3,421,782,016
  5. Step 5: Solve for x
    x = 3,421,782,016/38,996
  6. Step 6: Final answer
    x = 87,747.00

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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.