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Finding the Third Proportional to 30,685.50 and 48,744

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Solution

The third proportional to 30,685.50 and 48,744 is: 77,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.50 : 48,744 = 48,744 : x
  2. Step 2: Convert to fraction form
    30,685.50/48,744 = 48,744/x
  3. Step 3: Cross multiply
    30,685.50x = 48,744 × 48,744
  4. Step 4: Simplify right side
    30,685.50x = 2,375,977,536
  5. Step 5: Solve for x
    x = 2,375,977,536/30,685.50
  6. Step 6: Final answer
    x = 77,429.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.