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Finding the Third Proportional to 6,594.50 and 8,809

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Solution

The third proportional to 6,594.50 and 8,809 is: 11,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.50 : 8,809 = 8,809 : x
  2. Step 2: Convert to fraction form
    6,594.50/8,809 = 8,809/x
  3. Step 3: Cross multiply
    6,594.50x = 8,809 × 8,809
  4. Step 4: Simplify right side
    6,594.50x = 77,598,481
  5. Step 5: Solve for x
    x = 77,598,481/6,594.50
  6. Step 6: Final answer
    x = 11,767.15

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