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Finding the Third Proportional to 17,439 and 38,037

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Solution

The third proportional to 17,439 and 38,037 is: 82,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,439 : 38,037 = 38,037 : x
  2. Step 2: Convert to fraction form
    17,439/38,037 = 38,037/x
  3. Step 3: Cross multiply
    17,439x = 38,037 × 38,037
  4. Step 4: Simplify right side
    17,439x = 1,446,813,369
  5. Step 5: Solve for x
    x = 1,446,813,369/17,439
  6. Step 6: Final answer
    x = 82,964.24

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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.