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Finding the Third Proportional to 1,703.74 and 3,613.78

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Solution

The third proportional to 1,703.74 and 3,613.78 is: 7,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.74 : 3,613.78 = 3,613.78 : x
  2. Step 2: Convert to fraction form
    1,703.74/3,613.78 = 3,613.78/x
  3. Step 3: Cross multiply
    1,703.74x = 3,613.78 × 3,613.78
  4. Step 4: Simplify right side
    1,703.74x = 13,059,414.92
  5. Step 5: Solve for x
    x = 13,059,414.92/1,703.74
  6. Step 6: Final answer
    x = 7,665.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.