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Finding the Third Proportional to 22,912 and 48,283

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Solution

The third proportional to 22,912 and 48,283 is: 101,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912 : 48,283 = 48,283 : x
  2. Step 2: Convert to fraction form
    22,912/48,283 = 48,283/x
  3. Step 3: Cross multiply
    22,912x = 48,283 × 48,283
  4. Step 4: Simplify right side
    22,912x = 2,331,248,089
  5. Step 5: Solve for x
    x = 2,331,248,089/22,912
  6. Step 6: Final answer
    x = 101,747.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.