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Finding the Third Proportional to 36,403.03 and 77,867.30

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Solution

The third proportional to 36,403.03 and 77,867.30 is: 166,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,403.03 : 77,867.30 = 77,867.30 : x
  2. Step 2: Convert to fraction form
    36,403.03/77,867.30 = 77,867.30/x
  3. Step 3: Cross multiply
    36,403.03x = 77,867.30 × 77,867.30
  4. Step 4: Simplify right side
    36,403.03x = 6,063,315,922.62
  5. Step 5: Solve for x
    x = 6,063,315,922.62/36,403.03
  6. Step 6: Final answer
    x = 166,560.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.