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Finding the Third Proportional to 6,143.53 and 9,266.20

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Solution

The third proportional to 6,143.53 and 9,266.20 is: 13,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.53 : 9,266.20 = 9,266.20 : x
  2. Step 2: Convert to fraction form
    6,143.53/9,266.20 = 9,266.20/x
  3. Step 3: Cross multiply
    6,143.53x = 9,266.20 × 9,266.20
  4. Step 4: Simplify right side
    6,143.53x = 85,862,520.35
  5. Step 5: Solve for x
    x = 85,862,520.35/6,143.53
  6. Step 6: Final answer
    x = 13,976.09

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1.5x scale

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.