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Finding the Third Proportional to 15,231 and 22,719.75

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Solution

The third proportional to 15,231 and 22,719.75 is: 33,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231 : 22,719.75 = 22,719.75 : x
  2. Step 2: Convert to fraction form
    15,231/22,719.75 = 22,719.75/x
  3. Step 3: Cross multiply
    15,231x = 22,719.75 × 22,719.75
  4. Step 4: Simplify right side
    15,231x = 516,187,040.06
  5. Step 5: Solve for x
    x = 516,187,040.06/15,231
  6. Step 6: Final answer
    x = 33,890.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.