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Finding the Third Proportional to 6,650.86 and 10,025.02

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Solution

The third proportional to 6,650.86 and 10,025.02 is: 15,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.86 : 10,025.02 = 10,025.02 : x
  2. Step 2: Convert to fraction form
    6,650.86/10,025.02 = 10,025.02/x
  3. Step 3: Cross multiply
    6,650.86x = 10,025.02 × 10,025.02
  4. Step 4: Simplify right side
    6,650.86x = 100,500,938.28
  5. Step 5: Solve for x
    x = 100,500,938.28/6,650.86
  6. Step 6: Final answer
    x = 15,110.97

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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.