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Finding the Third Proportional to 22,641 and 48,202

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Solution

The third proportional to 22,641 and 48,202 is: 102,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641 : 48,202 = 48,202 : x
  2. Step 2: Convert to fraction form
    22,641/48,202 = 48,202/x
  3. Step 3: Cross multiply
    22,641x = 48,202 × 48,202
  4. Step 4: Simplify right side
    22,641x = 2,323,432,804
  5. Step 5: Solve for x
    x = 2,323,432,804/22,641
  6. Step 6: Final answer
    x = 102,620.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.