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Finding the Third Proportional to 1,034.02 and 2,170.55

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Solution

The third proportional to 1,034.02 and 2,170.55 is: 4,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.02 : 2,170.55 = 2,170.55 : x
  2. Step 2: Convert to fraction form
    1,034.02/2,170.55 = 2,170.55/x
  3. Step 3: Cross multiply
    1,034.02x = 2,170.55 × 2,170.55
  4. Step 4: Simplify right side
    1,034.02x = 4,711,273.74
  5. Step 5: Solve for x
    x = 4,711,273.74/1,034.02
  6. Step 6: Final answer
    x = 4,556.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.