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Finding the Third Proportional to 12,538.13 and 16,782.19

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Solution

The third proportional to 12,538.13 and 16,782.19 is: 22,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.13 : 16,782.19 = 16,782.19 : x
  2. Step 2: Convert to fraction form
    12,538.13/16,782.19 = 16,782.19/x
  3. Step 3: Cross multiply
    12,538.13x = 16,782.19 × 16,782.19
  4. Step 4: Simplify right side
    12,538.13x = 281,641,817.29
  5. Step 5: Solve for x
    x = 281,641,817.29/12,538.13
  6. Step 6: Final answer
    x = 22,462.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.