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Finding the Third Proportional to 32,688 and 73,917

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Solution

The third proportional to 32,688 and 73,917 is: 167,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688 : 73,917 = 73,917 : x
  2. Step 2: Convert to fraction form
    32,688/73,917 = 73,917/x
  3. Step 3: Cross multiply
    32,688x = 73,917 × 73,917
  4. Step 4: Simplify right side
    32,688x = 5,463,722,889
  5. Step 5: Solve for x
    x = 5,463,722,889/32,688
  6. Step 6: Final answer
    x = 167,147.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.