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Finding the Third Proportional to 32,165.44 and 70,875

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Solution

The third proportional to 32,165.44 and 70,875 is: 156,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.44 : 70,875 = 70,875 : x
  2. Step 2: Convert to fraction form
    32,165.44/70,875 = 70,875/x
  3. Step 3: Cross multiply
    32,165.44x = 70,875 × 70,875
  4. Step 4: Simplify right side
    32,165.44x = 5,023,265,625
  5. Step 5: Solve for x
    x = 5,023,265,625/32,165.44
  6. Step 6: Final answer
    x = 156,169.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.