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Finding the Third Proportional to 16,017 and 32,826

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Solution

The third proportional to 16,017 and 32,826 is: 67,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017 : 32,826 = 32,826 : x
  2. Step 2: Convert to fraction form
    16,017/32,826 = 32,826/x
  3. Step 3: Cross multiply
    16,017x = 32,826 × 32,826
  4. Step 4: Simplify right side
    16,017x = 1,077,546,276
  5. Step 5: Solve for x
    x = 1,077,546,276/16,017
  6. Step 6: Final answer
    x = 67,275.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.