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Finding the Third Proportional to 23,041.13 and 49,727.25

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Solution

The third proportional to 23,041.13 and 49,727.25 is: 107,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,041.13 : 49,727.25 = 49,727.25 : x
  2. Step 2: Convert to fraction form
    23,041.13/49,727.25 = 49,727.25/x
  3. Step 3: Cross multiply
    23,041.13x = 49,727.25 × 49,727.25
  4. Step 4: Simplify right side
    23,041.13x = 2,472,799,392.56
  5. Step 5: Solve for x
    x = 2,472,799,392.56/23,041.13
  6. Step 6: Final answer
    x = 107,321.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.