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Finding the Third Proportional to 5,779.69 and 8,711.72

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Solution

The third proportional to 5,779.69 and 8,711.72 is: 13,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.69 : 8,711.72 = 8,711.72 : x
  2. Step 2: Convert to fraction form
    5,779.69/8,711.72 = 8,711.72/x
  3. Step 3: Cross multiply
    5,779.69x = 8,711.72 × 8,711.72
  4. Step 4: Simplify right side
    5,779.69x = 75,894,043.58
  5. Step 5: Solve for x
    x = 75,894,043.58/5,779.69
  6. Step 6: Final answer
    x = 13,131.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.