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Finding the Third Proportional to 22,916 and 47,294

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Solution

The third proportional to 22,916 and 47,294 is: 97,605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916 : 47,294 = 47,294 : x
  2. Step 2: Convert to fraction form
    22,916/47,294 = 47,294/x
  3. Step 3: Cross multiply
    22,916x = 47,294 × 47,294
  4. Step 4: Simplify right side
    22,916x = 2,236,722,436
  5. Step 5: Solve for x
    x = 2,236,722,436/22,916
  6. Step 6: Final answer
    x = 97,605.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.