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Finding the Third Proportional to 791.12 and 1,160.89

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Solution

The third proportional to 791.12 and 1,160.89 is: 1,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.12 : 1,160.89 = 1,160.89 : x
  2. Step 2: Convert to fraction form
    791.12/1,160.89 = 1,160.89/x
  3. Step 3: Cross multiply
    791.12x = 1,160.89 × 1,160.89
  4. Step 4: Simplify right side
    791.12x = 1,347,676.11
  5. Step 5: Solve for x
    x = 1,347,676.11/791.12
  6. Step 6: Final answer
    x = 1,703.50

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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.