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Finding the Third Proportional to 16,509 and 36,701

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Solution

The third proportional to 16,509 and 36,701 is: 81,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509 : 36,701 = 36,701 : x
  2. Step 2: Convert to fraction form
    16,509/36,701 = 36,701/x
  3. Step 3: Cross multiply
    16,509x = 36,701 × 36,701
  4. Step 4: Simplify right side
    16,509x = 1,346,963,401
  5. Step 5: Solve for x
    x = 1,346,963,401/16,509
  6. Step 6: Final answer
    x = 81,589.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.