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Finding the Third Proportional to 32,814 and 71,172

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Solution

The third proportional to 32,814 and 71,172 is: 154,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814 : 71,172 = 71,172 : x
  2. Step 2: Convert to fraction form
    32,814/71,172 = 71,172/x
  3. Step 3: Cross multiply
    32,814x = 71,172 × 71,172
  4. Step 4: Simplify right side
    32,814x = 5,065,453,584
  5. Step 5: Solve for x
    x = 5,065,453,584/32,814
  6. Step 6: Final answer
    x = 154,368.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.