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Finding the Third Proportional to 5,734.97 and 7,718.20

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Solution

The third proportional to 5,734.97 and 7,718.20 is: 10,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.97 : 7,718.20 = 7,718.20 : x
  2. Step 2: Convert to fraction form
    5,734.97/7,718.20 = 7,718.20/x
  3. Step 3: Cross multiply
    5,734.97x = 7,718.20 × 7,718.20
  4. Step 4: Simplify right side
    5,734.97x = 59,570,659.48
  5. Step 5: Solve for x
    x = 59,570,659.48/5,734.97
  6. Step 6: Final answer
    x = 10,387.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.