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Finding the Third Proportional to 913.25 and 1,265.38

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Solution

The third proportional to 913.25 and 1,265.38 is: 1,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.25 : 1,265.38 = 1,265.38 : x
  2. Step 2: Convert to fraction form
    913.25/1,265.38 = 1,265.38/x
  3. Step 3: Cross multiply
    913.25x = 1,265.38 × 1,265.38
  4. Step 4: Simplify right side
    913.25x = 1,601,173.89
  5. Step 5: Solve for x
    x = 1,601,173.89/913.25
  6. Step 6: Final answer
    x = 1,753.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.