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Finding the Third Proportional to 4,098 and 9,633.75

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Solution

The third proportional to 4,098 and 9,633.75 is: 22,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 9,633.75 = 9,633.75 : x
  2. Step 2: Convert to fraction form
    4,098/9,633.75 = 9,633.75/x
  3. Step 3: Cross multiply
    4,098x = 9,633.75 × 9,633.75
  4. Step 4: Simplify right side
    4,098x = 92,809,139.06
  5. Step 5: Solve for x
    x = 92,809,139.06/4,098
  6. Step 6: Final answer
    x = 22,647.42

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.