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Finding the Third Proportional to 3,817.76 and 8,613.21

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Solution

The third proportional to 3,817.76 and 8,613.21 is: 19,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.76 : 8,613.21 = 8,613.21 : x
  2. Step 2: Convert to fraction form
    3,817.76/8,613.21 = 8,613.21/x
  3. Step 3: Cross multiply
    3,817.76x = 8,613.21 × 8,613.21
  4. Step 4: Simplify right side
    3,817.76x = 74,187,402.65
  5. Step 5: Solve for x
    x = 74,187,402.65/3,817.76
  6. Step 6: Final answer
    x = 19,432.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.