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Finding the Third Proportional to 8,016 and 16,955

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Solution

The third proportional to 8,016 and 16,955 is: 35,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016 : 16,955 = 16,955 : x
  2. Step 2: Convert to fraction form
    8,016/16,955 = 16,955/x
  3. Step 3: Cross multiply
    8,016x = 16,955 × 16,955
  4. Step 4: Simplify right side
    8,016x = 287,472,025
  5. Step 5: Solve for x
    x = 287,472,025/8,016
  6. Step 6: Final answer
    x = 35,862.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.