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Finding the Third Proportional to 24,981 and 52,271

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Solution

The third proportional to 24,981 and 52,271 is: 109,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,981 : 52,271 = 52,271 : x
  2. Step 2: Convert to fraction form
    24,981/52,271 = 52,271/x
  3. Step 3: Cross multiply
    24,981x = 52,271 × 52,271
  4. Step 4: Simplify right side
    24,981x = 2,732,257,441
  5. Step 5: Solve for x
    x = 2,732,257,441/24,981
  6. Step 6: Final answer
    x = 109,373.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.