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Finding the Third Proportional to 48,262 and 73,828

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Solution

The third proportional to 48,262 and 73,828 is: 112,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,262 : 73,828 = 73,828 : x
  2. Step 2: Convert to fraction form
    48,262/73,828 = 73,828/x
  3. Step 3: Cross multiply
    48,262x = 73,828 × 73,828
  4. Step 4: Simplify right side
    48,262x = 5,450,573,584
  5. Step 5: Solve for x
    x = 5,450,573,584/48,262
  6. Step 6: Final answer
    x = 112,937.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.