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Finding the Third Proportional to 1,015.13 and 2,186.91

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Solution

The third proportional to 1,015.13 and 2,186.91 is: 4,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.13 : 2,186.91 = 2,186.91 : x
  2. Step 2: Convert to fraction form
    1,015.13/2,186.91 = 2,186.91/x
  3. Step 3: Cross multiply
    1,015.13x = 2,186.91 × 2,186.91
  4. Step 4: Simplify right side
    1,015.13x = 4,782,558.95
  5. Step 5: Solve for x
    x = 4,782,558.95/1,015.13
  6. Step 6: Final answer
    x = 4,711.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.