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Finding the Third Proportional to 48,332 and 68,063

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Solution

The third proportional to 48,332 and 68,063 is: 95,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,332 : 68,063 = 68,063 : x
  2. Step 2: Convert to fraction form
    48,332/68,063 = 68,063/x
  3. Step 3: Cross multiply
    48,332x = 68,063 × 68,063
  4. Step 4: Simplify right side
    48,332x = 4,632,571,969
  5. Step 5: Solve for x
    x = 4,632,571,969/48,332
  6. Step 6: Final answer
    x = 95,848.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.