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Finding the Third Proportional to 22,641 and 49,170

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Solution

The third proportional to 22,641 and 49,170 is: 106,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641 : 49,170 = 49,170 : x
  2. Step 2: Convert to fraction form
    22,641/49,170 = 49,170/x
  3. Step 3: Cross multiply
    22,641x = 49,170 × 49,170
  4. Step 4: Simplify right side
    22,641x = 2,417,688,900
  5. Step 5: Solve for x
    x = 2,417,688,900/22,641
  6. Step 6: Final answer
    x = 106,783.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.