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Finding the Third Proportional to 22,383 and 48,759.75

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Solution

The third proportional to 22,383 and 48,759.75 is: 106,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383 : 48,759.75 = 48,759.75 : x
  2. Step 2: Convert to fraction form
    22,383/48,759.75 = 48,759.75/x
  3. Step 3: Cross multiply
    22,383x = 48,759.75 × 48,759.75
  4. Step 4: Simplify right side
    22,383x = 2,377,513,220.06
  5. Step 5: Solve for x
    x = 2,377,513,220.06/22,383
  6. Step 6: Final answer
    x = 106,219.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.