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Finding the Third Proportional to 48,341 and 72,809

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Solution

The third proportional to 48,341 and 72,809 is: 109,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,341 : 72,809 = 72,809 : x
  2. Step 2: Convert to fraction form
    48,341/72,809 = 72,809/x
  3. Step 3: Cross multiply
    48,341x = 72,809 × 72,809
  4. Step 4: Simplify right side
    48,341x = 5,301,150,481
  5. Step 5: Solve for x
    x = 5,301,150,481/48,341
  6. Step 6: Final answer
    x = 109,661.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.