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Finding the Third Proportional to 22,634 and 33,294

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Solution

The third proportional to 22,634 and 33,294 is: 48,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634 : 33,294 = 33,294 : x
  2. Step 2: Convert to fraction form
    22,634/33,294 = 33,294/x
  3. Step 3: Cross multiply
    22,634x = 33,294 × 33,294
  4. Step 4: Simplify right side
    22,634x = 1,108,490,436
  5. Step 5: Solve for x
    x = 1,108,490,436/22,634
  6. Step 6: Final answer
    x = 48,974.57

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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.