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Finding the Third Proportional to 1,060.78 and 1,543.03

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Solution

The third proportional to 1,060.78 and 1,543.03 is: 2,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.78 : 1,543.03 = 1,543.03 : x
  2. Step 2: Convert to fraction form
    1,060.78/1,543.03 = 1,543.03/x
  3. Step 3: Cross multiply
    1,060.78x = 1,543.03 × 1,543.03
  4. Step 4: Simplify right side
    1,060.78x = 2,380,945.44
  5. Step 5: Solve for x
    x = 2,380,945.44/1,060.78
  6. Step 6: Final answer
    x = 2,244.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.