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Finding the Third Proportional to 22,187.84 and 48,441.44

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Solution

The third proportional to 22,187.84 and 48,441.44 is: 105,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,187.84 : 48,441.44 = 48,441.44 : x
  2. Step 2: Convert to fraction form
    22,187.84/48,441.44 = 48,441.44/x
  3. Step 3: Cross multiply
    22,187.84x = 48,441.44 × 48,441.44
  4. Step 4: Simplify right side
    22,187.84x = 2,346,572,867.07
  5. Step 5: Solve for x
    x = 2,346,572,867.07/22,187.84
  6. Step 6: Final answer
    x = 105,759.39

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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.