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Finding the Third Proportional to 40,338.84 and 87,674.06

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Solution

The third proportional to 40,338.84 and 87,674.06 is: 190,554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,338.84 : 87,674.06 = 87,674.06 : x
  2. Step 2: Convert to fraction form
    40,338.84/87,674.06 = 87,674.06/x
  3. Step 3: Cross multiply
    40,338.84x = 87,674.06 × 87,674.06
  4. Step 4: Simplify right side
    40,338.84x = 7,686,741,235.25
  5. Step 5: Solve for x
    x = 7,686,741,235.25/40,338.84
  6. Step 6: Final answer
    x = 190,554.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.