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Finding the Third Proportional to 36,660 and 55,719

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Solution

The third proportional to 36,660 and 55,719 is: 84,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,660 : 55,719 = 55,719 : x
  2. Step 2: Convert to fraction form
    36,660/55,719 = 55,719/x
  3. Step 3: Cross multiply
    36,660x = 55,719 × 55,719
  4. Step 4: Simplify right side
    36,660x = 3,104,606,961
  5. Step 5: Solve for x
    x = 3,104,606,961/36,660
  6. Step 6: Final answer
    x = 84,686.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.