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Finding the Third Proportional to 16,514.72 and 23,379.89

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Solution

The third proportional to 16,514.72 and 23,379.89 is: 33,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.72 : 23,379.89 = 23,379.89 : x
  2. Step 2: Convert to fraction form
    16,514.72/23,379.89 = 23,379.89/x
  3. Step 3: Cross multiply
    16,514.72x = 23,379.89 × 23,379.89
  4. Step 4: Simplify right side
    16,514.72x = 546,619,285.64
  5. Step 5: Solve for x
    x = 546,619,285.64/16,514.72
  6. Step 6: Final answer
    x = 33,098.92

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.