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Finding the Third Proportional to 45,879 and 64,608

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Solution

The third proportional to 45,879 and 64,608 is: 90,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,879 : 64,608 = 64,608 : x
  2. Step 2: Convert to fraction form
    45,879/64,608 = 64,608/x
  3. Step 3: Cross multiply
    45,879x = 64,608 × 64,608
  4. Step 4: Simplify right side
    45,879x = 4,174,193,664
  5. Step 5: Solve for x
    x = 4,174,193,664/45,879
  6. Step 6: Final answer
    x = 90,982.66

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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.