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Finding the Third Proportional to 913.13 and 1,369.69

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Solution

The third proportional to 913.13 and 1,369.69 is: 2,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.13 : 1,369.69 = 1,369.69 : x
  2. Step 2: Convert to fraction form
    913.13/1,369.69 = 1,369.69/x
  3. Step 3: Cross multiply
    913.13x = 1,369.69 × 1,369.69
  4. Step 4: Simplify right side
    913.13x = 1,876,043.85
  5. Step 5: Solve for x
    x = 1,876,043.85/913.13
  6. Step 6: Final answer
    x = 2,054.53

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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.