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Finding the Third Proportional to 25,119 and 36,981

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Solution

The third proportional to 25,119 and 36,981 is: 54,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,119 : 36,981 = 36,981 : x
  2. Step 2: Convert to fraction form
    25,119/36,981 = 36,981/x
  3. Step 3: Cross multiply
    25,119x = 36,981 × 36,981
  4. Step 4: Simplify right side
    25,119x = 1,367,594,361
  5. Step 5: Solve for x
    x = 1,367,594,361/25,119
  6. Step 6: Final answer
    x = 54,444.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.