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Finding the Third Proportional to 22,396 and 48,248

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Solution

The third proportional to 22,396 and 48,248 is: 103,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396 : 48,248 = 48,248 : x
  2. Step 2: Convert to fraction form
    22,396/48,248 = 48,248/x
  3. Step 3: Cross multiply
    22,396x = 48,248 × 48,248
  4. Step 4: Simplify right side
    22,396x = 2,327,869,504
  5. Step 5: Solve for x
    x = 2,327,869,504/22,396
  6. Step 6: Final answer
    x = 103,941.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.