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Finding the Third Proportional to 25,324 and 52,267

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Solution

The third proportional to 25,324 and 52,267 is: 107,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,324 : 52,267 = 52,267 : x
  2. Step 2: Convert to fraction form
    25,324/52,267 = 52,267/x
  3. Step 3: Cross multiply
    25,324x = 52,267 × 52,267
  4. Step 4: Simplify right side
    25,324x = 2,731,839,289
  5. Step 5: Solve for x
    x = 2,731,839,289/25,324
  6. Step 6: Final answer
    x = 107,875.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.