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Finding the Third Proportional to 5,734.47 and 8,680.99

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Solution

The third proportional to 5,734.47 and 8,680.99 is: 13,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.47 : 8,680.99 = 8,680.99 : x
  2. Step 2: Convert to fraction form
    5,734.47/8,680.99 = 8,680.99/x
  3. Step 3: Cross multiply
    5,734.47x = 8,680.99 × 8,680.99
  4. Step 4: Simplify right side
    5,734.47x = 75,359,606.28
  5. Step 5: Solve for x
    x = 75,359,606.28/5,734.47
  6. Step 6: Final answer
    x = 13,141.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.