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Finding the Third Proportional to 22,544 and 48,214.50

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Solution

The third proportional to 22,544 and 48,214.50 is: 103,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544 : 48,214.50 = 48,214.50 : x
  2. Step 2: Convert to fraction form
    22,544/48,214.50 = 48,214.50/x
  3. Step 3: Cross multiply
    22,544x = 48,214.50 × 48,214.50
  4. Step 4: Simplify right side
    22,544x = 2,324,638,010.25
  5. Step 5: Solve for x
    x = 2,324,638,010.25/22,544
  6. Step 6: Final answer
    x = 103,115.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.