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Finding the Third Proportional to 22,396 and 48,262

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Solution

The third proportional to 22,396 and 48,262 is: 104,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396 : 48,262 = 48,262 : x
  2. Step 2: Convert to fraction form
    22,396/48,262 = 48,262/x
  3. Step 3: Cross multiply
    22,396x = 48,262 × 48,262
  4. Step 4: Simplify right side
    22,396x = 2,329,220,644
  5. Step 5: Solve for x
    x = 2,329,220,644/22,396
  6. Step 6: Final answer
    x = 104,001.64

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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.