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Finding the Third Proportional to 24,543 and 36,875.25

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Solution

The third proportional to 24,543 and 36,875.25 is: 55,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543 : 36,875.25 = 36,875.25 : x
  2. Step 2: Convert to fraction form
    24,543/36,875.25 = 36,875.25/x
  3. Step 3: Cross multiply
    24,543x = 36,875.25 × 36,875.25
  4. Step 4: Simplify right side
    24,543x = 1,359,784,062.56
  5. Step 5: Solve for x
    x = 1,359,784,062.56/24,543
  6. Step 6: Final answer
    x = 55,404.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.