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Finding the Third Proportional to 1,381.78 and 2,395.97

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Solution

The third proportional to 1,381.78 and 2,395.97 is: 4,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.78 : 2,395.97 = 2,395.97 : x
  2. Step 2: Convert to fraction form
    1,381.78/2,395.97 = 2,395.97/x
  3. Step 3: Cross multiply
    1,381.78x = 2,395.97 × 2,395.97
  4. Step 4: Simplify right side
    1,381.78x = 5,740,666.25
  5. Step 5: Solve for x
    x = 5,740,666.25/1,381.78
  6. Step 6: Final answer
    x = 4,154.54

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.