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Finding the Third Proportional to 32,752.69 and 70,174.69

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Solution

The third proportional to 32,752.69 and 70,174.69 is: 150,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,752.69 : 70,174.69 = 70,174.69 : x
  2. Step 2: Convert to fraction form
    32,752.69/70,174.69 = 70,174.69/x
  3. Step 3: Cross multiply
    32,752.69x = 70,174.69 × 70,174.69
  4. Step 4: Simplify right side
    32,752.69x = 4,924,486,765.72
  5. Step 5: Solve for x
    x = 4,924,486,765.72/32,752.69
  6. Step 6: Final answer
    x = 150,353.67

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