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Finding the Third Proportional to 5,958.56 and 8,765.72

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Solution

The third proportional to 5,958.56 and 8,765.72 is: 12,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.56 : 8,765.72 = 8,765.72 : x
  2. Step 2: Convert to fraction form
    5,958.56/8,765.72 = 8,765.72/x
  3. Step 3: Cross multiply
    5,958.56x = 8,765.72 × 8,765.72
  4. Step 4: Simplify right side
    5,958.56x = 76,837,825.20
  5. Step 5: Solve for x
    x = 76,837,825.20/5,958.56
  6. Step 6: Final answer
    x = 12,895.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.