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Finding the Third Proportional to 8,377.50 and 22,788.75

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Solution

The third proportional to 8,377.50 and 22,788.75 is: 61,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.50 : 22,788.75 = 22,788.75 : x
  2. Step 2: Convert to fraction form
    8,377.50/22,788.75 = 22,788.75/x
  3. Step 3: Cross multiply
    8,377.50x = 22,788.75 × 22,788.75
  4. Step 4: Simplify right side
    8,377.50x = 519,327,126.56
  5. Step 5: Solve for x
    x = 519,327,126.56/8,377.50
  6. Step 6: Final answer
    x = 61,990.70

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.