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Finding the Third Proportional to 9,585 and 18,981

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Solution

The third proportional to 9,585 and 18,981 is: 37,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585 : 18,981 = 18,981 : x
  2. Step 2: Convert to fraction form
    9,585/18,981 = 18,981/x
  3. Step 3: Cross multiply
    9,585x = 18,981 × 18,981
  4. Step 4: Simplify right side
    9,585x = 360,278,361
  5. Step 5: Solve for x
    x = 360,278,361/9,585
  6. Step 6: Final answer
    x = 37,587.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.