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Finding the Third Proportional to 36,232.31 and 79,326.84

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Solution

The third proportional to 36,232.31 and 79,326.84 is: 173,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232.31 : 79,326.84 = 79,326.84 : x
  2. Step 2: Convert to fraction form
    36,232.31/79,326.84 = 79,326.84/x
  3. Step 3: Cross multiply
    36,232.31x = 79,326.84 × 79,326.84
  4. Step 4: Simplify right side
    36,232.31x = 6,292,748,139.34
  5. Step 5: Solve for x
    x = 6,292,748,139.34/36,232.31
  6. Step 6: Final answer
    x = 173,677.79

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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.