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Finding the Third Proportional to 5,613.38 and 8,371.13

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Solution

The third proportional to 5,613.38 and 8,371.13 is: 12,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.38 : 8,371.13 = 8,371.13 : x
  2. Step 2: Convert to fraction form
    5,613.38/8,371.13 = 8,371.13/x
  3. Step 3: Cross multiply
    5,613.38x = 8,371.13 × 8,371.13
  4. Step 4: Simplify right side
    5,613.38x = 70,075,733.77
  5. Step 5: Solve for x
    x = 70,075,733.77/5,613.38
  6. Step 6: Final answer
    x = 12,483.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.