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Finding the Third Proportional to 16,033 and 35,350

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Solution

The third proportional to 16,033 and 35,350 is: 77,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033 : 35,350 = 35,350 : x
  2. Step 2: Convert to fraction form
    16,033/35,350 = 35,350/x
  3. Step 3: Cross multiply
    16,033x = 35,350 × 35,350
  4. Step 4: Simplify right side
    16,033x = 1,249,622,500
  5. Step 5: Solve for x
    x = 1,249,622,500/16,033
  6. Step 6: Final answer
    x = 77,940.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.