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Finding the Third Proportional to 35,263.69 and 73,441.69

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Solution

The third proportional to 35,263.69 and 73,441.69 is: 152,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,263.69 : 73,441.69 = 73,441.69 : x
  2. Step 2: Convert to fraction form
    35,263.69/73,441.69 = 73,441.69/x
  3. Step 3: Cross multiply
    35,263.69x = 73,441.69 × 73,441.69
  4. Step 4: Simplify right side
    35,263.69x = 5,393,681,462.85
  5. Step 5: Solve for x
    x = 5,393,681,462.85/35,263.69
  6. Step 6: Final answer
    x = 152,952.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.