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Finding the Third Proportional to 1,834.13 and 2,613.38

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Solution

The third proportional to 1,834.13 and 2,613.38 is: 3,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.13 : 2,613.38 = 2,613.38 : x
  2. Step 2: Convert to fraction form
    1,834.13/2,613.38 = 2,613.38/x
  3. Step 3: Cross multiply
    1,834.13x = 2,613.38 × 2,613.38
  4. Step 4: Simplify right side
    1,834.13x = 6,829,728.89
  5. Step 5: Solve for x
    x = 6,829,728.89/1,834.13
  6. Step 6: Final answer
    x = 3,723.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.