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Finding the Third Proportional to 17,940 and 32,280

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Solution

The third proportional to 17,940 and 32,280 is: 58,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,940 : 32,280 = 32,280 : x
  2. Step 2: Convert to fraction form
    17,940/32,280 = 32,280/x
  3. Step 3: Cross multiply
    17,940x = 32,280 × 32,280
  4. Step 4: Simplify right side
    17,940x = 1,041,998,400
  5. Step 5: Solve for x
    x = 1,041,998,400/17,940
  6. Step 6: Final answer
    x = 58,082.41

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.