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Finding the Third Proportional to 6,064.56 and 9,643.56

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Solution

The third proportional to 6,064.56 and 9,643.56 is: 15,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.56 : 9,643.56 = 9,643.56 : x
  2. Step 2: Convert to fraction form
    6,064.56/9,643.56 = 9,643.56/x
  3. Step 3: Cross multiply
    6,064.56x = 9,643.56 × 9,643.56
  4. Step 4: Simplify right side
    6,064.56x = 92,998,297.69
  5. Step 5: Solve for x
    x = 92,998,297.69/6,064.56
  6. Step 6: Final answer
    x = 15,334.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.