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Finding the Third Proportional to 22,248 and 41,216

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Solution

The third proportional to 22,248 and 41,216 is: 76,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,248 : 41,216 = 41,216 : x
  2. Step 2: Convert to fraction form
    22,248/41,216 = 41,216/x
  3. Step 3: Cross multiply
    22,248x = 41,216 × 41,216
  4. Step 4: Simplify right side
    22,248x = 1,698,758,656
  5. Step 5: Solve for x
    x = 1,698,758,656/22,248
  6. Step 6: Final answer
    x = 76,355.57

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.