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Finding the Third Proportional to 5,690.33 and 8,614.87

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Solution

The third proportional to 5,690.33 and 8,614.87 is: 13,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.33 : 8,614.87 = 8,614.87 : x
  2. Step 2: Convert to fraction form
    5,690.33/8,614.87 = 8,614.87/x
  3. Step 3: Cross multiply
    5,690.33x = 8,614.87 × 8,614.87
  4. Step 4: Simplify right side
    5,690.33x = 74,216,020.79
  5. Step 5: Solve for x
    x = 74,216,020.79/5,690.33
  6. Step 6: Final answer
    x = 13,042.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.