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Finding the Third Proportional to 48,009 and 72,675

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Solution

The third proportional to 48,009 and 72,675 is: 110,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,009 : 72,675 = 72,675 : x
  2. Step 2: Convert to fraction form
    48,009/72,675 = 72,675/x
  3. Step 3: Cross multiply
    48,009x = 72,675 × 72,675
  4. Step 4: Simplify right side
    48,009x = 5,281,655,625
  5. Step 5: Solve for x
    x = 5,281,655,625/48,009
  6. Step 6: Final answer
    x = 110,013.86

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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.