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Finding the Third Proportional to 8,415.75 and 17,742.75

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Solution

The third proportional to 8,415.75 and 17,742.75 is: 37,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.75 : 17,742.75 = 17,742.75 : x
  2. Step 2: Convert to fraction form
    8,415.75/17,742.75 = 17,742.75/x
  3. Step 3: Cross multiply
    8,415.75x = 17,742.75 × 17,742.75
  4. Step 4: Simplify right side
    8,415.75x = 314,805,177.56
  5. Step 5: Solve for x
    x = 314,805,177.56/8,415.75
  6. Step 6: Final answer
    x = 37,406.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.