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Finding the Third Proportional to 543.48 and 1,168.91

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Solution

The third proportional to 543.48 and 1,168.91 is: 2,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.48 : 1,168.91 = 1,168.91 : x
  2. Step 2: Convert to fraction form
    543.48/1,168.91 = 1,168.91/x
  3. Step 3: Cross multiply
    543.48x = 1,168.91 × 1,168.91
  4. Step 4: Simplify right side
    543.48x = 1,366,350.95
  5. Step 5: Solve for x
    x = 1,366,350.95/543.48
  6. Step 6: Final answer
    x = 2,514.08

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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.