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Finding the Third Proportional to 795.61 and 1,169.05

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Solution

The third proportional to 795.61 and 1,169.05 is: 1,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.61 : 1,169.05 = 1,169.05 : x
  2. Step 2: Convert to fraction form
    795.61/1,169.05 = 1,169.05/x
  3. Step 3: Cross multiply
    795.61x = 1,169.05 × 1,169.05
  4. Step 4: Simplify right side
    795.61x = 1,366,682.30
  5. Step 5: Solve for x
    x = 1,366,682.30/795.61
  6. Step 6: Final answer
    x = 1,717.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.