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Finding the Third Proportional to 1,395.14 and 2,169.28

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Solution

The third proportional to 1,395.14 and 2,169.28 is: 3,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.14 : 2,169.28 = 2,169.28 : x
  2. Step 2: Convert to fraction form
    1,395.14/2,169.28 = 2,169.28/x
  3. Step 3: Cross multiply
    1,395.14x = 2,169.28 × 2,169.28
  4. Step 4: Simplify right side
    1,395.14x = 4,705,781.14
  5. Step 5: Solve for x
    x = 4,705,781.14/1,395.14
  6. Step 6: Final answer
    x = 3,372.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.