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Finding the Third Proportional to 24,902.50 and 37,000.75

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Solution

The third proportional to 24,902.50 and 37,000.75 is: 54,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.50 : 37,000.75 = 37,000.75 : x
  2. Step 2: Convert to fraction form
    24,902.50/37,000.75 = 37,000.75/x
  3. Step 3: Cross multiply
    24,902.50x = 37,000.75 × 37,000.75
  4. Step 4: Simplify right side
    24,902.50x = 1,369,055,500.56
  5. Step 5: Solve for x
    x = 1,369,055,500.56/24,902.50
  6. Step 6: Final answer
    x = 54,976.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.