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Finding the Third Proportional to 1,363.08 and 2,986.24

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Solution

The third proportional to 1,363.08 and 2,986.24 is: 6,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.08 : 2,986.24 = 2,986.24 : x
  2. Step 2: Convert to fraction form
    1,363.08/2,986.24 = 2,986.24/x
  3. Step 3: Cross multiply
    1,363.08x = 2,986.24 × 2,986.24
  4. Step 4: Simplify right side
    1,363.08x = 8,917,642.40
  5. Step 5: Solve for x
    x = 8,917,642.40/1,363.08
  6. Step 6: Final answer
    x = 6,542.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.