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Finding the Third Proportional to 22,657.13 and 49,671.38

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Solution

The third proportional to 22,657.13 and 49,671.38 is: 108,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.13 : 49,671.38 = 49,671.38 : x
  2. Step 2: Convert to fraction form
    22,657.13/49,671.38 = 49,671.38/x
  3. Step 3: Cross multiply
    22,657.13x = 49,671.38 × 49,671.38
  4. Step 4: Simplify right side
    22,657.13x = 2,467,245,494.39
  5. Step 5: Solve for x
    x = 2,467,245,494.39/22,657.13
  6. Step 6: Final answer
    x = 108,894.91

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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.