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Finding the Third Proportional to 738.38 and 1,741.13

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Solution

The third proportional to 738.38 and 1,741.13 is: 4,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.38 : 1,741.13 = 1,741.13 : x
  2. Step 2: Convert to fraction form
    738.38/1,741.13 = 1,741.13/x
  3. Step 3: Cross multiply
    738.38x = 1,741.13 × 1,741.13
  4. Step 4: Simplify right side
    738.38x = 3,031,516.27
  5. Step 5: Solve for x
    x = 3,031,516.27/738.38
  6. Step 6: Final answer
    x = 4,105.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.