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Finding the Third Proportional to 40,538.50 and 87,071

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Solution

The third proportional to 40,538.50 and 87,071 is: 187,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,538.50 : 87,071 = 87,071 : x
  2. Step 2: Convert to fraction form
    40,538.50/87,071 = 87,071/x
  3. Step 3: Cross multiply
    40,538.50x = 87,071 × 87,071
  4. Step 4: Simplify right side
    40,538.50x = 7,581,359,041
  5. Step 5: Solve for x
    x = 7,581,359,041/40,538.50
  6. Step 6: Final answer
    x = 187,016.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.