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Finding the Third Proportional to 6,030.56 and 9,083.81

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Solution

The third proportional to 6,030.56 and 9,083.81 is: 13,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030.56 : 9,083.81 = 9,083.81 : x
  2. Step 2: Convert to fraction form
    6,030.56/9,083.81 = 9,083.81/x
  3. Step 3: Cross multiply
    6,030.56x = 9,083.81 × 9,083.81
  4. Step 4: Simplify right side
    6,030.56x = 82,515,649.54
  5. Step 5: Solve for x
    x = 82,515,649.54/6,030.56
  6. Step 6: Final answer
    x = 13,682.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.