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Finding the Third Proportional to 37,071.56 and 87,405.75

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Solution

The third proportional to 37,071.56 and 87,405.75 is: 206,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,071.56 : 87,405.75 = 87,405.75 : x
  2. Step 2: Convert to fraction form
    37,071.56/87,405.75 = 87,405.75/x
  3. Step 3: Cross multiply
    37,071.56x = 87,405.75 × 87,405.75
  4. Step 4: Simplify right side
    37,071.56x = 7,639,765,133.06
  5. Step 5: Solve for x
    x = 7,639,765,133.06/37,071.56
  6. Step 6: Final answer
    x = 206,081.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.