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Finding the Third Proportional to 24,597 and 54,472.50

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Solution

The third proportional to 24,597 and 54,472.50 is: 120,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597 : 54,472.50 = 54,472.50 : x
  2. Step 2: Convert to fraction form
    24,597/54,472.50 = 54,472.50/x
  3. Step 3: Cross multiply
    24,597x = 54,472.50 × 54,472.50
  4. Step 4: Simplify right side
    24,597x = 2,967,253,256.25
  5. Step 5: Solve for x
    x = 2,967,253,256.25/24,597
  6. Step 6: Final answer
    x = 120,634.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.