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Finding the Third Proportional to 23,519.25 and 50,275.13

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Solution

The third proportional to 23,519.25 and 50,275.13 is: 107,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,519.25 : 50,275.13 = 50,275.13 : x
  2. Step 2: Convert to fraction form
    23,519.25/50,275.13 = 50,275.13/x
  3. Step 3: Cross multiply
    23,519.25x = 50,275.13 × 50,275.13
  4. Step 4: Simplify right side
    23,519.25x = 2,527,588,193.77
  5. Step 5: Solve for x
    x = 2,527,588,193.77/23,519.25
  6. Step 6: Final answer
    x = 107,468.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.