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Finding the Third Proportional to 1,061.23 and 2,251.55

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Solution

The third proportional to 1,061.23 and 2,251.55 is: 4,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.23 : 2,251.55 = 2,251.55 : x
  2. Step 2: Convert to fraction form
    1,061.23/2,251.55 = 2,251.55/x
  3. Step 3: Cross multiply
    1,061.23x = 2,251.55 × 2,251.55
  4. Step 4: Simplify right side
    1,061.23x = 5,069,463.33
  5. Step 5: Solve for x
    x = 5,069,463.33/1,061.23
  6. Step 6: Final answer
    x = 4,776.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.