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Finding the Third Proportional to 16,550 and 35,691

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Solution

The third proportional to 16,550 and 35,691 is: 76,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550 : 35,691 = 35,691 : x
  2. Step 2: Convert to fraction form
    16,550/35,691 = 35,691/x
  3. Step 3: Cross multiply
    16,550x = 35,691 × 35,691
  4. Step 4: Simplify right side
    16,550x = 1,273,847,481
  5. Step 5: Solve for x
    x = 1,273,847,481/16,550
  6. Step 6: Final answer
    x = 76,969.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.