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Finding the Third Proportional to 22,648 and 48,394

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Solution

The third proportional to 22,648 and 48,394 is: 103,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648 : 48,394 = 48,394 : x
  2. Step 2: Convert to fraction form
    22,648/48,394 = 48,394/x
  3. Step 3: Cross multiply
    22,648x = 48,394 × 48,394
  4. Step 4: Simplify right side
    22,648x = 2,341,979,236
  5. Step 5: Solve for x
    x = 2,341,979,236/22,648
  6. Step 6: Final answer
    x = 103,407.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.