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Finding the Third Proportional to 22,250 and 48,964

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Solution

The third proportional to 22,250 and 48,964 is: 107,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,250 : 48,964 = 48,964 : x
  2. Step 2: Convert to fraction form
    22,250/48,964 = 48,964/x
  3. Step 3: Cross multiply
    22,250x = 48,964 × 48,964
  4. Step 4: Simplify right side
    22,250x = 2,397,473,296
  5. Step 5: Solve for x
    x = 2,397,473,296/22,250
  6. Step 6: Final answer
    x = 107,751.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.