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Finding the Third Proportional to 32,887 and 71,318

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Solution

The third proportional to 32,887 and 71,318 is: 154,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,887 : 71,318 = 71,318 : x
  2. Step 2: Convert to fraction form
    32,887/71,318 = 71,318/x
  3. Step 3: Cross multiply
    32,887x = 71,318 × 71,318
  4. Step 4: Simplify right side
    32,887x = 5,086,257,124
  5. Step 5: Solve for x
    x = 5,086,257,124/32,887
  6. Step 6: Final answer
    x = 154,658.59

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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.