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Finding the Third Proportional to 24,487.75 and 36,371.50

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Solution

The third proportional to 24,487.75 and 36,371.50 is: 54,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,487.75 : 36,371.50 = 36,371.50 : x
  2. Step 2: Convert to fraction form
    24,487.75/36,371.50 = 36,371.50/x
  3. Step 3: Cross multiply
    24,487.75x = 36,371.50 × 36,371.50
  4. Step 4: Simplify right side
    24,487.75x = 1,322,886,012.25
  5. Step 5: Solve for x
    x = 1,322,886,012.25/24,487.75
  6. Step 6: Final answer
    x = 54,022.36

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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.