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Finding the Third Proportional to 788.09 and 1,182.13

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Solution

The third proportional to 788.09 and 1,182.13 is: 1,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.09 : 1,182.13 = 1,182.13 : x
  2. Step 2: Convert to fraction form
    788.09/1,182.13 = 1,182.13/x
  3. Step 3: Cross multiply
    788.09x = 1,182.13 × 1,182.13
  4. Step 4: Simplify right side
    788.09x = 1,397,439.14
  5. Step 5: Solve for x
    x = 1,397,439.14/788.09
  6. Step 6: Final answer
    x = 1,773.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.