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Finding the Third Proportional to 959.77 and 1,452.52

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Solution

The third proportional to 959.77 and 1,452.52 is: 2,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.77 : 1,452.52 = 1,452.52 : x
  2. Step 2: Convert to fraction form
    959.77/1,452.52 = 1,452.52/x
  3. Step 3: Cross multiply
    959.77x = 1,452.52 × 1,452.52
  4. Step 4: Simplify right side
    959.77x = 2,109,801.64
  5. Step 5: Solve for x
    x = 2,109,801.64/959.77
  6. Step 6: Final answer
    x = 2,198.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.