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Finding the Third Proportional to 1,047.23 and 2,180.59

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Solution

The third proportional to 1,047.23 and 2,180.59 is: 4,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.23 : 2,180.59 = 2,180.59 : x
  2. Step 2: Convert to fraction form
    1,047.23/2,180.59 = 2,180.59/x
  3. Step 3: Cross multiply
    1,047.23x = 2,180.59 × 2,180.59
  4. Step 4: Simplify right side
    1,047.23x = 4,754,984.84
  5. Step 5: Solve for x
    x = 4,754,984.84/1,047.23
  6. Step 6: Final answer
    x = 4,540.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.