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Finding the Third Proportional to 22,756 and 52,210

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Solution

The third proportional to 22,756 and 52,210 is: 119,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756 : 52,210 = 52,210 : x
  2. Step 2: Convert to fraction form
    22,756/52,210 = 52,210/x
  3. Step 3: Cross multiply
    22,756x = 52,210 × 52,210
  4. Step 4: Simplify right side
    22,756x = 2,725,884,100
  5. Step 5: Solve for x
    x = 2,725,884,100/22,756
  6. Step 6: Final answer
    x = 119,787.49

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.