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Finding the Third Proportional to 3,826.13 and 9,045.56

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Solution

The third proportional to 3,826.13 and 9,045.56 is: 21,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.13 : 9,045.56 = 9,045.56 : x
  2. Step 2: Convert to fraction form
    3,826.13/9,045.56 = 9,045.56/x
  3. Step 3: Cross multiply
    3,826.13x = 9,045.56 × 9,045.56
  4. Step 4: Simplify right side
    3,826.13x = 81,822,200.94
  5. Step 5: Solve for x
    x = 81,822,200.94/3,826.13
  6. Step 6: Final answer
    x = 21,385.14

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.