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Finding the Third Proportional to 12,585 and 24,981

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Solution

The third proportional to 12,585 and 24,981 is: 49,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585 : 24,981 = 24,981 : x
  2. Step 2: Convert to fraction form
    12,585/24,981 = 24,981/x
  3. Step 3: Cross multiply
    12,585x = 24,981 × 24,981
  4. Step 4: Simplify right side
    12,585x = 624,050,361
  5. Step 5: Solve for x
    x = 624,050,361/12,585
  6. Step 6: Final answer
    x = 49,586.84

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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.