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Finding the Third Proportional to 6,266.27 and 9,743.26

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Solution

The third proportional to 6,266.27 and 9,743.26 is: 15,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.27 : 9,743.26 = 9,743.26 : x
  2. Step 2: Convert to fraction form
    6,266.27/9,743.26 = 9,743.26/x
  3. Step 3: Cross multiply
    6,266.27x = 9,743.26 × 9,743.26
  4. Step 4: Simplify right side
    6,266.27x = 94,931,034.74
  5. Step 5: Solve for x
    x = 94,931,034.74/6,266.27
  6. Step 6: Final answer
    x = 15,149.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.