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Finding the Third Proportional to 5,780.81 and 8,672.06

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Solution

The third proportional to 5,780.81 and 8,672.06 is: 13,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.81 : 8,672.06 = 8,672.06 : x
  2. Step 2: Convert to fraction form
    5,780.81/8,672.06 = 8,672.06/x
  3. Step 3: Cross multiply
    5,780.81x = 8,672.06 × 8,672.06
  4. Step 4: Simplify right side
    5,780.81x = 75,204,668.00
  5. Step 5: Solve for x
    x = 75,204,668.00/5,780.81
  6. Step 6: Final answer
    x = 13,009.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.