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Finding the Third Proportional to 35,328 and 96,051

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Solution

The third proportional to 35,328 and 96,051 is: 261,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,328 : 96,051 = 96,051 : x
  2. Step 2: Convert to fraction form
    35,328/96,051 = 96,051/x
  3. Step 3: Cross multiply
    35,328x = 96,051 × 96,051
  4. Step 4: Simplify right side
    35,328x = 9,225,794,601
  5. Step 5: Solve for x
    x = 9,225,794,601/35,328
  6. Step 6: Final answer
    x = 261,146.81

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.