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Finding the Third Proportional to 5,826.38 and 9,028.13

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Solution

The third proportional to 5,826.38 and 9,028.13 is: 13,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.38 : 9,028.13 = 9,028.13 : x
  2. Step 2: Convert to fraction form
    5,826.38/9,028.13 = 9,028.13/x
  3. Step 3: Cross multiply
    5,826.38x = 9,028.13 × 9,028.13
  4. Step 4: Simplify right side
    5,826.38x = 81,507,041.02
  5. Step 5: Solve for x
    x = 81,507,041.02/5,826.38
  6. Step 6: Final answer
    x = 13,989.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.