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Finding the Third Proportional to 24,774.50 and 54,469

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Solution

The third proportional to 24,774.50 and 54,469 is: 119,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.50 : 54,469 = 54,469 : x
  2. Step 2: Convert to fraction form
    24,774.50/54,469 = 54,469/x
  3. Step 3: Cross multiply
    24,774.50x = 54,469 × 54,469
  4. Step 4: Simplify right side
    24,774.50x = 2,966,871,961
  5. Step 5: Solve for x
    x = 2,966,871,961/24,774.50
  6. Step 6: Final answer
    x = 119,755.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.