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Finding the Third Proportional to 22,347 and 49,110

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Solution

The third proportional to 22,347 and 49,110 is: 107,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347 : 49,110 = 49,110 : x
  2. Step 2: Convert to fraction form
    22,347/49,110 = 49,110/x
  3. Step 3: Cross multiply
    22,347x = 49,110 × 49,110
  4. Step 4: Simplify right side
    22,347x = 2,411,792,100
  5. Step 5: Solve for x
    x = 2,411,792,100/22,347
  6. Step 6: Final answer
    x = 107,924.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.