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Finding the Third Proportional to 36,018 and 77,371.88

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Solution

The third proportional to 36,018 and 77,371.88 is: 166,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,018 : 77,371.88 = 77,371.88 : x
  2. Step 2: Convert to fraction form
    36,018/77,371.88 = 77,371.88/x
  3. Step 3: Cross multiply
    36,018x = 77,371.88 × 77,371.88
  4. Step 4: Simplify right side
    36,018x = 5,986,407,041.02
  5. Step 5: Solve for x
    x = 5,986,407,041.02/36,018
  6. Step 6: Final answer
    x = 166,205.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.