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Finding the Third Proportional to 2,015.63 and 2,218.13

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Solution

The third proportional to 2,015.63 and 2,218.13 is: 2,440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.63 : 2,218.13 = 2,218.13 : x
  2. Step 2: Convert to fraction form
    2,015.63/2,218.13 = 2,218.13/x
  3. Step 3: Cross multiply
    2,015.63x = 2,218.13 × 2,218.13
  4. Step 4: Simplify right side
    2,015.63x = 4,920,078.52
  5. Step 5: Solve for x
    x = 4,920,078.52/2,015.63
  6. Step 6: Final answer
    x = 2,440.97

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.