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Finding the Third Proportional to 24,125 and 52,275

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Solution

The third proportional to 24,125 and 52,275 is: 113,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,125 : 52,275 = 52,275 : x
  2. Step 2: Convert to fraction form
    24,125/52,275 = 52,275/x
  3. Step 3: Cross multiply
    24,125x = 52,275 × 52,275
  4. Step 4: Simplify right side
    24,125x = 2,732,675,625
  5. Step 5: Solve for x
    x = 2,732,675,625/24,125
  6. Step 6: Final answer
    x = 113,271.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.