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Finding the Third Proportional to 8,596.13 and 18,227.53

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Solution

The third proportional to 8,596.13 and 18,227.53 is: 38,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.13 : 18,227.53 = 18,227.53 : x
  2. Step 2: Convert to fraction form
    8,596.13/18,227.53 = 18,227.53/x
  3. Step 3: Cross multiply
    8,596.13x = 18,227.53 × 18,227.53
  4. Step 4: Simplify right side
    8,596.13x = 332,242,895.47
  5. Step 5: Solve for x
    x = 332,242,895.47/8,596.13
  6. Step 6: Final answer
    x = 38,650.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.