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Finding the Third Proportional to 22,696 and 48,416

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Solution

The third proportional to 22,696 and 48,416 is: 103,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696 : 48,416 = 48,416 : x
  2. Step 2: Convert to fraction form
    22,696/48,416 = 48,416/x
  3. Step 3: Cross multiply
    22,696x = 48,416 × 48,416
  4. Step 4: Simplify right side
    22,696x = 2,344,109,056
  5. Step 5: Solve for x
    x = 2,344,109,056/22,696
  6. Step 6: Final answer
    x = 103,282.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.