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Finding the Third Proportional to 36,511.88 and 79,782.19

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Solution

The third proportional to 36,511.88 and 79,782.19 is: 174,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,511.88 : 79,782.19 = 79,782.19 : x
  2. Step 2: Convert to fraction form
    36,511.88/79,782.19 = 79,782.19/x
  3. Step 3: Cross multiply
    36,511.88x = 79,782.19 × 79,782.19
  4. Step 4: Simplify right side
    36,511.88x = 6,365,197,442.29
  5. Step 5: Solve for x
    x = 6,365,197,442.29/36,511.88
  6. Step 6: Final answer
    x = 174,332.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.