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Finding the Third Proportional to 792.07 and 1,741.92

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Solution

The third proportional to 792.07 and 1,741.92 is: 3,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.07 : 1,741.92 = 1,741.92 : x
  2. Step 2: Convert to fraction form
    792.07/1,741.92 = 1,741.92/x
  3. Step 3: Cross multiply
    792.07x = 1,741.92 × 1,741.92
  4. Step 4: Simplify right side
    792.07x = 3,034,291.82
  5. Step 5: Solve for x
    x = 3,034,291.82/792.07
  6. Step 6: Final answer
    x = 3,830.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.