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Finding the Third Proportional to 8,631.56 and 13,767.47

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Solution

The third proportional to 8,631.56 and 13,767.47 is: 21,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,631.56 : 13,767.47 = 13,767.47 : x
  2. Step 2: Convert to fraction form
    8,631.56/13,767.47 = 13,767.47/x
  3. Step 3: Cross multiply
    8,631.56x = 13,767.47 × 13,767.47
  4. Step 4: Simplify right side
    8,631.56x = 189,543,195.78
  5. Step 5: Solve for x
    x = 189,543,195.78/8,631.56
  6. Step 6: Final answer
    x = 21,959.31

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.