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Finding the Third Proportional to 731.25 and 1,573.88

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Solution

The third proportional to 731.25 and 1,573.88 is: 3,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.25 : 1,573.88 = 1,573.88 : x
  2. Step 2: Convert to fraction form
    731.25/1,573.88 = 1,573.88/x
  3. Step 3: Cross multiply
    731.25x = 1,573.88 × 1,573.88
  4. Step 4: Simplify right side
    731.25x = 2,477,082.52
  5. Step 5: Solve for x
    x = 2,477,082.52/731.25
  6. Step 6: Final answer
    x = 3,387.46

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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.