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Finding the Third Proportional to 22,196 and 48,224

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Solution

The third proportional to 22,196 and 48,224 is: 104,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196 : 48,224 = 48,224 : x
  2. Step 2: Convert to fraction form
    22,196/48,224 = 48,224/x
  3. Step 3: Cross multiply
    22,196x = 48,224 × 48,224
  4. Step 4: Simplify right side
    22,196x = 2,325,554,176
  5. Step 5: Solve for x
    x = 2,325,554,176/22,196
  6. Step 6: Final answer
    x = 104,773.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.