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Finding the Third Proportional to 24,414.75 and 50,284.13

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Solution

The third proportional to 24,414.75 and 50,284.13 is: 103,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.75 : 50,284.13 = 50,284.13 : x
  2. Step 2: Convert to fraction form
    24,414.75/50,284.13 = 50,284.13/x
  3. Step 3: Cross multiply
    24,414.75x = 50,284.13 × 50,284.13
  4. Step 4: Simplify right side
    24,414.75x = 2,528,493,227.02
  5. Step 5: Solve for x
    x = 2,528,493,227.02/24,414.75
  6. Step 6: Final answer
    x = 103,564.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.