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Finding the Third Proportional to 24,949.13 and 54,054.56

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Solution

The third proportional to 24,949.13 and 54,054.56 is: 117,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,949.13 : 54,054.56 = 54,054.56 : x
  2. Step 2: Convert to fraction form
    24,949.13/54,054.56 = 54,054.56/x
  3. Step 3: Cross multiply
    24,949.13x = 54,054.56 × 54,054.56
  4. Step 4: Simplify right side
    24,949.13x = 2,921,895,727.07
  5. Step 5: Solve for x
    x = 2,921,895,727.07/24,949.13
  6. Step 6: Final answer
    x = 117,114.16

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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.