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Finding the Third Proportional to 6,701.91 and 8,812.97

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Solution

The third proportional to 6,701.91 and 8,812.97 is: 11,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.91 : 8,812.97 = 8,812.97 : x
  2. Step 2: Convert to fraction form
    6,701.91/8,812.97 = 8,812.97/x
  3. Step 3: Cross multiply
    6,701.91x = 8,812.97 × 8,812.97
  4. Step 4: Simplify right side
    6,701.91x = 77,668,418.19
  5. Step 5: Solve for x
    x = 77,668,418.19/6,701.91
  6. Step 6: Final answer
    x = 11,589.00

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.