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Finding the Third Proportional to 1,170.39 and 2,514.48

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Solution

The third proportional to 1,170.39 and 2,514.48 is: 5,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.39 : 2,514.48 = 2,514.48 : x
  2. Step 2: Convert to fraction form
    1,170.39/2,514.48 = 2,514.48/x
  3. Step 3: Cross multiply
    1,170.39x = 2,514.48 × 2,514.48
  4. Step 4: Simplify right side
    1,170.39x = 6,322,612.03
  5. Step 5: Solve for x
    x = 6,322,612.03/1,170.39
  6. Step 6: Final answer
    x = 5,402.16

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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.