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Finding the Third Proportional to 22,446 and 49,205

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Solution

The third proportional to 22,446 and 49,205 is: 107,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446 : 49,205 = 49,205 : x
  2. Step 2: Convert to fraction form
    22,446/49,205 = 49,205/x
  3. Step 3: Cross multiply
    22,446x = 49,205 × 49,205
  4. Step 4: Simplify right side
    22,446x = 2,421,132,025
  5. Step 5: Solve for x
    x = 2,421,132,025/22,446
  6. Step 6: Final answer
    x = 107,864.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.