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Finding the Third Proportional to 6,632.19 and 10,351.86

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Solution

The third proportional to 6,632.19 and 10,351.86 is: 16,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.19 : 10,351.86 = 10,351.86 : x
  2. Step 2: Convert to fraction form
    6,632.19/10,351.86 = 10,351.86/x
  3. Step 3: Cross multiply
    6,632.19x = 10,351.86 × 10,351.86
  4. Step 4: Simplify right side
    6,632.19x = 107,161,073.39
  5. Step 5: Solve for x
    x = 107,161,073.39/6,632.19
  6. Step 6: Final answer
    x = 16,157.72

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.