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Finding the Third Proportional to 15,724.13 and 30,233.25

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Solution

The third proportional to 15,724.13 and 30,233.25 is: 58,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.13 : 30,233.25 = 30,233.25 : x
  2. Step 2: Convert to fraction form
    15,724.13/30,233.25 = 30,233.25/x
  3. Step 3: Cross multiply
    15,724.13x = 30,233.25 × 30,233.25
  4. Step 4: Simplify right side
    15,724.13x = 914,049,405.56
  5. Step 5: Solve for x
    x = 914,049,405.56/15,724.13
  6. Step 6: Final answer
    x = 58,130.38

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.