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Finding the Third Proportional to 24,225 and 52,271

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Solution

The third proportional to 24,225 and 52,271 is: 112,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225 : 52,271 = 52,271 : x
  2. Step 2: Convert to fraction form
    24,225/52,271 = 52,271/x
  3. Step 3: Cross multiply
    24,225x = 52,271 × 52,271
  4. Step 4: Simplify right side
    24,225x = 2,732,257,441
  5. Step 5: Solve for x
    x = 2,732,257,441/24,225
  6. Step 6: Final answer
    x = 112,786.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.