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Finding the Third Proportional to 22,179 and 48,469

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Solution

The third proportional to 22,179 and 48,469 is: 105,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,179 : 48,469 = 48,469 : x
  2. Step 2: Convert to fraction form
    22,179/48,469 = 48,469/x
  3. Step 3: Cross multiply
    22,179x = 48,469 × 48,469
  4. Step 4: Simplify right side
    22,179x = 2,349,243,961
  5. Step 5: Solve for x
    x = 2,349,243,961/22,179
  6. Step 6: Final answer
    x = 105,922.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.