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Finding the Third Proportional to 40,364 and 87,993.75

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Solution

The third proportional to 40,364 and 87,993.75 is: 191,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,364 : 87,993.75 = 87,993.75 : x
  2. Step 2: Convert to fraction form
    40,364/87,993.75 = 87,993.75/x
  3. Step 3: Cross multiply
    40,364x = 87,993.75 × 87,993.75
  4. Step 4: Simplify right side
    40,364x = 7,742,900,039.06
  5. Step 5: Solve for x
    x = 7,742,900,039.06/40,364
  6. Step 6: Final answer
    x = 191,826.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.