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Finding the Third Proportional to 6,637.89 and 9,008.56

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Solution

The third proportional to 6,637.89 and 9,008.56 is: 12,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.89 : 9,008.56 = 9,008.56 : x
  2. Step 2: Convert to fraction form
    6,637.89/9,008.56 = 9,008.56/x
  3. Step 3: Cross multiply
    6,637.89x = 9,008.56 × 9,008.56
  4. Step 4: Simplify right side
    6,637.89x = 81,154,163.13
  5. Step 5: Solve for x
    x = 81,154,163.13/6,637.89
  6. Step 6: Final answer
    x = 12,225.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.