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Finding the Third Proportional to 32,749.47 and 70,167.67

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Solution

The third proportional to 32,749.47 and 70,167.67 is: 150,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749.47 : 70,167.67 = 70,167.67 : x
  2. Step 2: Convert to fraction form
    32,749.47/70,167.67 = 70,167.67/x
  3. Step 3: Cross multiply
    32,749.47x = 70,167.67 × 70,167.67
  4. Step 4: Simplify right side
    32,749.47x = 4,923,502,450.45
  5. Step 5: Solve for x
    x = 4,923,502,450.45/32,749.47
  6. Step 6: Final answer
    x = 150,338.38

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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.