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Finding the Third Proportional to 2,518.31 and 5,514.19

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Solution

The third proportional to 2,518.31 and 5,514.19 is: 12,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.31 : 5,514.19 = 5,514.19 : x
  2. Step 2: Convert to fraction form
    2,518.31/5,514.19 = 5,514.19/x
  3. Step 3: Cross multiply
    2,518.31x = 5,514.19 × 5,514.19
  4. Step 4: Simplify right side
    2,518.31x = 30,406,263.79
  5. Step 5: Solve for x
    x = 30,406,263.79/2,518.31
  6. Step 6: Final answer
    x = 12,074.06

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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.