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Finding the Third Proportional to 791.25 and 1,210.13

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Solution

The third proportional to 791.25 and 1,210.13 is: 1,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.25 : 1,210.13 = 1,210.13 : x
  2. Step 2: Convert to fraction form
    791.25/1,210.13 = 1,210.13/x
  3. Step 3: Cross multiply
    791.25x = 1,210.13 × 1,210.13
  4. Step 4: Simplify right side
    791.25x = 1,464,402.52
  5. Step 5: Solve for x
    x = 1,464,402.52/791.25
  6. Step 6: Final answer
    x = 1,850.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.