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Finding the Third Proportional to 24,945 and 54,253.50

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Solution

The third proportional to 24,945 and 54,253.50 is: 117,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,945 : 54,253.50 = 54,253.50 : x
  2. Step 2: Convert to fraction form
    24,945/54,253.50 = 54,253.50/x
  3. Step 3: Cross multiply
    24,945x = 54,253.50 × 54,253.50
  4. Step 4: Simplify right side
    24,945x = 2,943,442,262.25
  5. Step 5: Solve for x
    x = 2,943,442,262.25/24,945
  6. Step 6: Final answer
    x = 117,997.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.