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Finding the Third Proportional to 24,949 and 54,557

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Solution

The third proportional to 24,949 and 54,557 is: 119,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,949 : 54,557 = 54,557 : x
  2. Step 2: Convert to fraction form
    24,949/54,557 = 54,557/x
  3. Step 3: Cross multiply
    24,949x = 54,557 × 54,557
  4. Step 4: Simplify right side
    24,949x = 2,976,466,249
  5. Step 5: Solve for x
    x = 2,976,466,249/24,949
  6. Step 6: Final answer
    x = 119,302.03

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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.