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Finding the Third Proportional to 48,624 and 62,125.50

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Solution

The third proportional to 48,624 and 62,125.50 is: 79,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,624 : 62,125.50 = 62,125.50 : x
  2. Step 2: Convert to fraction form
    48,624/62,125.50 = 62,125.50/x
  3. Step 3: Cross multiply
    48,624x = 62,125.50 × 62,125.50
  4. Step 4: Simplify right side
    48,624x = 3,859,577,750.25
  5. Step 5: Solve for x
    x = 3,859,577,750.25/48,624
  6. Step 6: Final answer
    x = 79,375.98

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.