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Finding the Third Proportional to 22,485 and 48,251

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Solution

The third proportional to 22,485 and 48,251 is: 103,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,485 : 48,251 = 48,251 : x
  2. Step 2: Convert to fraction form
    22,485/48,251 = 48,251/x
  3. Step 3: Cross multiply
    22,485x = 48,251 × 48,251
  4. Step 4: Simplify right side
    22,485x = 2,328,159,001
  5. Step 5: Solve for x
    x = 2,328,159,001/22,485
  6. Step 6: Final answer
    x = 103,542.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.