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Finding the Third Proportional to 5,894.86 and 8,010.14

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Solution

The third proportional to 5,894.86 and 8,010.14 is: 10,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.86 : 8,010.14 = 8,010.14 : x
  2. Step 2: Convert to fraction form
    5,894.86/8,010.14 = 8,010.14/x
  3. Step 3: Cross multiply
    5,894.86x = 8,010.14 × 8,010.14
  4. Step 4: Simplify right side
    5,894.86x = 64,162,352.83
  5. Step 5: Solve for x
    x = 64,162,352.83/5,894.86
  6. Step 6: Final answer
    x = 10,884.46

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.