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Finding the Third Proportional to 48,767 and 66,238

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Solution

The third proportional to 48,767 and 66,238 is: 89,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,767 : 66,238 = 66,238 : x
  2. Step 2: Convert to fraction form
    48,767/66,238 = 66,238/x
  3. Step 3: Cross multiply
    48,767x = 66,238 × 66,238
  4. Step 4: Simplify right side
    48,767x = 4,387,472,644
  5. Step 5: Solve for x
    x = 4,387,472,644/48,767
  6. Step 6: Final answer
    x = 89,968.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.