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Finding the Third Proportional to 16,738.13 and 22,951.69

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Solution

The third proportional to 16,738.13 and 22,951.69 is: 31,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.13 : 22,951.69 = 22,951.69 : x
  2. Step 2: Convert to fraction form
    16,738.13/22,951.69 = 22,951.69/x
  3. Step 3: Cross multiply
    16,738.13x = 22,951.69 × 22,951.69
  4. Step 4: Simplify right side
    16,738.13x = 526,779,959.10
  5. Step 5: Solve for x
    x = 526,779,959.10/16,738.13
  6. Step 6: Final answer
    x = 31,471.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.