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Finding the Third Proportional to 32,989 and 71,898

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Solution

The third proportional to 32,989 and 71,898 is: 156,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989 : 71,898 = 71,898 : x
  2. Step 2: Convert to fraction form
    32,989/71,898 = 71,898/x
  3. Step 3: Cross multiply
    32,989x = 71,898 × 71,898
  4. Step 4: Simplify right side
    32,989x = 5,169,322,404
  5. Step 5: Solve for x
    x = 5,169,322,404/32,989
  6. Step 6: Final answer
    x = 156,698.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.