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Finding the Third Proportional to 24,543 and 33,432.75

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Solution

The third proportional to 24,543 and 33,432.75 is: 45,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543 : 33,432.75 = 33,432.75 : x
  2. Step 2: Convert to fraction form
    24,543/33,432.75 = 33,432.75/x
  3. Step 3: Cross multiply
    24,543x = 33,432.75 × 33,432.75
  4. Step 4: Simplify right side
    24,543x = 1,117,748,772.56
  5. Step 5: Solve for x
    x = 1,117,748,772.56/24,543
  6. Step 6: Final answer
    x = 45,542.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.