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Finding the Third Proportional to 8,290.69 and 14,375.81

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Solution

The third proportional to 8,290.69 and 14,375.81 is: 24,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.69 : 14,375.81 = 14,375.81 : x
  2. Step 2: Convert to fraction form
    8,290.69/14,375.81 = 14,375.81/x
  3. Step 3: Cross multiply
    8,290.69x = 14,375.81 × 14,375.81
  4. Step 4: Simplify right side
    8,290.69x = 206,663,985.04
  5. Step 5: Solve for x
    x = 206,663,985.04/8,290.69
  6. Step 6: Final answer
    x = 24,927.24

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.