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Finding the Third Proportional to 40,947 and 73,368.75

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Solution

The third proportional to 40,947 and 73,368.75 is: 131,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,947 : 73,368.75 = 73,368.75 : x
  2. Step 2: Convert to fraction form
    40,947/73,368.75 = 73,368.75/x
  3. Step 3: Cross multiply
    40,947x = 73,368.75 × 73,368.75
  4. Step 4: Simplify right side
    40,947x = 5,382,973,476.56
  5. Step 5: Solve for x
    x = 5,382,973,476.56/40,947
  6. Step 6: Final answer
    x = 131,461.97

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.