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Finding the Third Proportional to 5,818.15 and 12,456.42

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Solution

The third proportional to 5,818.15 and 12,456.42 is: 26,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818.15 : 12,456.42 = 12,456.42 : x
  2. Step 2: Convert to fraction form
    5,818.15/12,456.42 = 12,456.42/x
  3. Step 3: Cross multiply
    5,818.15x = 12,456.42 × 12,456.42
  4. Step 4: Simplify right side
    5,818.15x = 155,162,445.93
  5. Step 5: Solve for x
    x = 155,162,445.93/5,818.15
  6. Step 6: Final answer
    x = 26,668.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.