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Finding the Third Proportional to 48,387.50 and 66,863

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Solution

The third proportional to 48,387.50 and 66,863 is: 92,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,387.50 : 66,863 = 66,863 : x
  2. Step 2: Convert to fraction form
    48,387.50/66,863 = 66,863/x
  3. Step 3: Cross multiply
    48,387.50x = 66,863 × 66,863
  4. Step 4: Simplify right side
    48,387.50x = 4,470,660,769
  5. Step 5: Solve for x
    x = 4,470,660,769/48,387.50
  6. Step 6: Final answer
    x = 92,392.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.