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Finding the Third Proportional to 22,972 and 33,684

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Solution

The third proportional to 22,972 and 33,684 is: 49,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972 : 33,684 = 33,684 : x
  2. Step 2: Convert to fraction form
    22,972/33,684 = 33,684/x
  3. Step 3: Cross multiply
    22,972x = 33,684 × 33,684
  4. Step 4: Simplify right side
    22,972x = 1,134,611,856
  5. Step 5: Solve for x
    x = 1,134,611,856/22,972
  6. Step 6: Final answer
    x = 49,391.08

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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.