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Finding the Third Proportional to 15,447.38 and 23,117.91

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Solution

The third proportional to 15,447.38 and 23,117.91 is: 34,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447.38 : 23,117.91 = 23,117.91 : x
  2. Step 2: Convert to fraction form
    15,447.38/23,117.91 = 23,117.91/x
  3. Step 3: Cross multiply
    15,447.38x = 23,117.91 × 23,117.91
  4. Step 4: Simplify right side
    15,447.38x = 534,437,589.38
  5. Step 5: Solve for x
    x = 534,437,589.38/15,447.38
  6. Step 6: Final answer
    x = 34,597.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.