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Finding the Third Proportional to 38,972 and 58,460

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Solution

The third proportional to 38,972 and 58,460 is: 87,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972 : 58,460 = 58,460 : x
  2. Step 2: Convert to fraction form
    38,972/58,460 = 58,460/x
  3. Step 3: Cross multiply
    38,972x = 58,460 × 58,460
  4. Step 4: Simplify right side
    38,972x = 3,417,571,600
  5. Step 5: Solve for x
    x = 3,417,571,600/38,972
  6. Step 6: Final answer
    x = 87,693.00

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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.