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Finding the Third Proportional to 6,592.88 and 8,806.88

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Solution

The third proportional to 6,592.88 and 8,806.88 is: 11,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.88 : 8,806.88 = 8,806.88 : x
  2. Step 2: Convert to fraction form
    6,592.88/8,806.88 = 8,806.88/x
  3. Step 3: Cross multiply
    6,592.88x = 8,806.88 × 8,806.88
  4. Step 4: Simplify right side
    6,592.88x = 77,561,047.27
  5. Step 5: Solve for x
    x = 77,561,047.27/6,592.88
  6. Step 6: Final answer
    x = 11,764.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.