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Finding the Third Proportional to 36,049.50 and 77,301

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Solution

The third proportional to 36,049.50 and 77,301 is: 165,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,049.50 : 77,301 = 77,301 : x
  2. Step 2: Convert to fraction form
    36,049.50/77,301 = 77,301/x
  3. Step 3: Cross multiply
    36,049.50x = 77,301 × 77,301
  4. Step 4: Simplify right side
    36,049.50x = 5,975,444,601
  5. Step 5: Solve for x
    x = 5,975,444,601/36,049.50
  6. Step 6: Final answer
    x = 165,756.66

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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.