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Finding the Third Proportional to 1,500.61 and 3,274.17

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Solution

The third proportional to 1,500.61 and 3,274.17 is: 7,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.61 : 3,274.17 = 3,274.17 : x
  2. Step 2: Convert to fraction form
    1,500.61/3,274.17 = 3,274.17/x
  3. Step 3: Cross multiply
    1,500.61x = 3,274.17 × 3,274.17
  4. Step 4: Simplify right side
    1,500.61x = 10,720,201.47
  5. Step 5: Solve for x
    x = 10,720,201.47/1,500.61
  6. Step 6: Final answer
    x = 7,143.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.