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Finding the Third Proportional to 792.28 and 1,730.95

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Solution

The third proportional to 792.28 and 1,730.95 is: 3,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.28 : 1,730.95 = 1,730.95 : x
  2. Step 2: Convert to fraction form
    792.28/1,730.95 = 1,730.95/x
  3. Step 3: Cross multiply
    792.28x = 1,730.95 × 1,730.95
  4. Step 4: Simplify right side
    792.28x = 2,996,198.72
  5. Step 5: Solve for x
    x = 2,996,198.72/792.28
  6. Step 6: Final answer
    x = 3,781.74

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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.