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Finding the Third Proportional to 22,485 and 48,250

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Solution

The third proportional to 22,485 and 48,250 is: 103,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,485 : 48,250 = 48,250 : x
  2. Step 2: Convert to fraction form
    22,485/48,250 = 48,250/x
  3. Step 3: Cross multiply
    22,485x = 48,250 × 48,250
  4. Step 4: Simplify right side
    22,485x = 2,328,062,500
  5. Step 5: Solve for x
    x = 2,328,062,500/22,485
  6. Step 6: Final answer
    x = 103,538.47

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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.