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Finding the Third Proportional to 22,376.25 and 48,255.75

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Solution

The third proportional to 22,376.25 and 48,255.75 is: 104,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.25 : 48,255.75 = 48,255.75 : x
  2. Step 2: Convert to fraction form
    22,376.25/48,255.75 = 48,255.75/x
  3. Step 3: Cross multiply
    22,376.25x = 48,255.75 × 48,255.75
  4. Step 4: Simplify right side
    22,376.25x = 2,328,617,408.06
  5. Step 5: Solve for x
    x = 2,328,617,408.06/22,376.25
  6. Step 6: Final answer
    x = 104,066.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.