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Finding the Third Proportional to 24,889.50 and 54,441

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Solution

The third proportional to 24,889.50 and 54,441 is: 119,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,889.50 : 54,441 = 54,441 : x
  2. Step 2: Convert to fraction form
    24,889.50/54,441 = 54,441/x
  3. Step 3: Cross multiply
    24,889.50x = 54,441 × 54,441
  4. Step 4: Simplify right side
    24,889.50x = 2,963,822,481
  5. Step 5: Solve for x
    x = 2,963,822,481/24,889.50
  6. Step 6: Final answer
    x = 119,079.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.