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Finding the Third Proportional to 40,697.44 and 87,235.10

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Solution

The third proportional to 40,697.44 and 87,235.10 is: 186,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,697.44 : 87,235.10 = 87,235.10 : x
  2. Step 2: Convert to fraction form
    40,697.44/87,235.10 = 87,235.10/x
  3. Step 3: Cross multiply
    40,697.44x = 87,235.10 × 87,235.10
  4. Step 4: Simplify right side
    40,697.44x = 7,609,962,944.62
  5. Step 5: Solve for x
    x = 7,609,962,944.62/40,697.44
  6. Step 6: Final answer
    x = 186,988.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.