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Finding the Third Proportional to 36,356 and 75,036

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Solution

The third proportional to 36,356 and 75,036 is: 154,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,356 : 75,036 = 75,036 : x
  2. Step 2: Convert to fraction form
    36,356/75,036 = 75,036/x
  3. Step 3: Cross multiply
    36,356x = 75,036 × 75,036
  4. Step 4: Simplify right side
    36,356x = 5,630,401,296
  5. Step 5: Solve for x
    x = 5,630,401,296/36,356
  6. Step 6: Final answer
    x = 154,868.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.