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Finding the Third Proportional to 22,906 and 33,540

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Solution

The third proportional to 22,906 and 33,540 is: 49,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906 : 33,540 = 33,540 : x
  2. Step 2: Convert to fraction form
    22,906/33,540 = 33,540/x
  3. Step 3: Cross multiply
    22,906x = 33,540 × 33,540
  4. Step 4: Simplify right side
    22,906x = 1,124,931,600
  5. Step 5: Solve for x
    x = 1,124,931,600/22,906
  6. Step 6: Final answer
    x = 49,110.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.