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Finding the Third Proportional to 9,995.27 and 15,257.74

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Solution

The third proportional to 9,995.27 and 15,257.74 is: 23,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.27 : 15,257.74 = 15,257.74 : x
  2. Step 2: Convert to fraction form
    9,995.27/15,257.74 = 15,257.74/x
  3. Step 3: Cross multiply
    9,995.27x = 15,257.74 × 15,257.74
  4. Step 4: Simplify right side
    9,995.27x = 232,798,696.66
  5. Step 5: Solve for x
    x = 232,798,696.66/9,995.27
  6. Step 6: Final answer
    x = 23,290.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.