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Finding the Third Proportional to 5,655.09 and 8,614.41

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Solution

The third proportional to 5,655.09 and 8,614.41 is: 13,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.09 : 8,614.41 = 8,614.41 : x
  2. Step 2: Convert to fraction form
    5,655.09/8,614.41 = 8,614.41/x
  3. Step 3: Cross multiply
    5,655.09x = 8,614.41 × 8,614.41
  4. Step 4: Simplify right side
    5,655.09x = 74,207,995.04
  5. Step 5: Solve for x
    x = 74,207,995.04/5,655.09
  6. Step 6: Final answer
    x = 13,122.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.