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Finding the Third Proportional to 22,228.17 and 48,696.19

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Solution

The third proportional to 22,228.17 and 48,696.19 is: 106,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,228.17 : 48,696.19 = 48,696.19 : x
  2. Step 2: Convert to fraction form
    22,228.17/48,696.19 = 48,696.19/x
  3. Step 3: Cross multiply
    22,228.17x = 48,696.19 × 48,696.19
  4. Step 4: Simplify right side
    22,228.17x = 2,371,318,677.04
  5. Step 5: Solve for x
    x = 2,371,318,677.04/22,228.17
  6. Step 6: Final answer
    x = 106,680.78

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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.