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Finding the Third Proportional to 5,642.81 and 8,732.81

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Solution

The third proportional to 5,642.81 and 8,732.81 is: 13,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.81 : 8,732.81 = 8,732.81 : x
  2. Step 2: Convert to fraction form
    5,642.81/8,732.81 = 8,732.81/x
  3. Step 3: Cross multiply
    5,642.81x = 8,732.81 × 8,732.81
  4. Step 4: Simplify right side
    5,642.81x = 76,262,014.16
  5. Step 5: Solve for x
    x = 76,262,014.16/5,642.81
  6. Step 6: Final answer
    x = 13,514.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.