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Finding the Third Proportional to 38,947 and 58,355

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Solution

The third proportional to 38,947 and 58,355 is: 87,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,947 : 58,355 = 58,355 : x
  2. Step 2: Convert to fraction form
    38,947/58,355 = 58,355/x
  3. Step 3: Cross multiply
    38,947x = 58,355 × 58,355
  4. Step 4: Simplify right side
    38,947x = 3,405,306,025
  5. Step 5: Solve for x
    x = 3,405,306,025/38,947
  6. Step 6: Final answer
    x = 87,434.36

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Why These Related Problems?

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