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Finding the Third Proportional to 48,170 and 65,623

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Solution

The third proportional to 48,170 and 65,623 is: 89,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,170 : 65,623 = 65,623 : x
  2. Step 2: Convert to fraction form
    48,170/65,623 = 65,623/x
  3. Step 3: Cross multiply
    48,170x = 65,623 × 65,623
  4. Step 4: Simplify right side
    48,170x = 4,306,378,129
  5. Step 5: Solve for x
    x = 4,306,378,129/48,170
  6. Step 6: Final answer
    x = 89,399.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.