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Finding the Third Proportional to 24,232.50 and 37,446.75

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Solution

The third proportional to 24,232.50 and 37,446.75 is: 57,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.50 : 37,446.75 = 37,446.75 : x
  2. Step 2: Convert to fraction form
    24,232.50/37,446.75 = 37,446.75/x
  3. Step 3: Cross multiply
    24,232.50x = 37,446.75 × 37,446.75
  4. Step 4: Simplify right side
    24,232.50x = 1,402,259,085.56
  5. Step 5: Solve for x
    x = 1,402,259,085.56/24,232.50
  6. Step 6: Final answer
    x = 57,866.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.