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Finding the Third Proportional to 36,205.10 and 74,926.11

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Solution

The third proportional to 36,205.10 and 74,926.11 is: 155,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205.10 : 74,926.11 = 74,926.11 : x
  2. Step 2: Convert to fraction form
    36,205.10/74,926.11 = 74,926.11/x
  3. Step 3: Cross multiply
    36,205.10x = 74,926.11 × 74,926.11
  4. Step 4: Simplify right side
    36,205.10x = 5,613,921,573.39
  5. Step 5: Solve for x
    x = 5,613,921,573.39/36,205.10
  6. Step 6: Final answer
    x = 155,058.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.