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Finding the Third Proportional to 22,658 and 48,231

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Solution

The third proportional to 22,658 and 48,231 is: 102,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658 : 48,231 = 48,231 : x
  2. Step 2: Convert to fraction form
    22,658/48,231 = 48,231/x
  3. Step 3: Cross multiply
    22,658x = 48,231 × 48,231
  4. Step 4: Simplify right side
    22,658x = 2,326,229,361
  5. Step 5: Solve for x
    x = 2,326,229,361/22,658
  6. Step 6: Final answer
    x = 102,667.02

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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.