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Finding the Third Proportional to 1,387.13 and 3,017.25

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Solution

The third proportional to 1,387.13 and 3,017.25 is: 6,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.13 : 3,017.25 = 3,017.25 : x
  2. Step 2: Convert to fraction form
    1,387.13/3,017.25 = 3,017.25/x
  3. Step 3: Cross multiply
    1,387.13x = 3,017.25 × 3,017.25
  4. Step 4: Simplify right side
    1,387.13x = 9,103,797.56
  5. Step 5: Solve for x
    x = 9,103,797.56/1,387.13
  6. Step 6: Final answer
    x = 6,563.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.