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Finding the Third Proportional to 16,982 and 36,287

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Solution

The third proportional to 16,982 and 36,287 is: 77,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982 : 36,287 = 36,287 : x
  2. Step 2: Convert to fraction form
    16,982/36,287 = 36,287/x
  3. Step 3: Cross multiply
    16,982x = 36,287 × 36,287
  4. Step 4: Simplify right side
    16,982x = 1,316,746,369
  5. Step 5: Solve for x
    x = 1,316,746,369/16,982
  6. Step 6: Final answer
    x = 77,537.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.