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Finding the Third Proportional to 22,963.50 and 54,000.11

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Solution

The third proportional to 22,963.50 and 54,000.11 is: 126,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 54,000.11 = 54,000.11 : x
  2. Step 2: Convert to fraction form
    22,963.50/54,000.11 = 54,000.11/x
  3. Step 3: Cross multiply
    22,963.50x = 54,000.11 × 54,000.11
  4. Step 4: Simplify right side
    22,963.50x = 2,916,011,390.64
  5. Step 5: Solve for x
    x = 2,916,011,390.64/22,963.50
  6. Step 6: Final answer
    x = 126,984.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.