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Finding the Third Proportional to 22,864 and 33,681

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Solution

The third proportional to 22,864 and 33,681 is: 49,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864 : 33,681 = 33,681 : x
  2. Step 2: Convert to fraction form
    22,864/33,681 = 33,681/x
  3. Step 3: Cross multiply
    22,864x = 33,681 × 33,681
  4. Step 4: Simplify right side
    22,864x = 1,134,409,761
  5. Step 5: Solve for x
    x = 1,134,409,761/22,864
  6. Step 6: Final answer
    x = 49,615.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.