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Finding the Third Proportional to 3,822.19 and 6,104.11

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Solution

The third proportional to 3,822.19 and 6,104.11 is: 9,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.19 : 6,104.11 = 6,104.11 : x
  2. Step 2: Convert to fraction form
    3,822.19/6,104.11 = 6,104.11/x
  3. Step 3: Cross multiply
    3,822.19x = 6,104.11 × 6,104.11
  4. Step 4: Simplify right side
    3,822.19x = 37,260,151.26
  5. Step 5: Solve for x
    x = 37,260,151.26/3,822.19
  6. Step 6: Final answer
    x = 9,748.38

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.