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Finding the Third Proportional to 6,164.86 and 9,247.29

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Solution

The third proportional to 6,164.86 and 9,247.29 is: 13,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.86 : 9,247.29 = 9,247.29 : x
  2. Step 2: Convert to fraction form
    6,164.86/9,247.29 = 9,247.29/x
  3. Step 3: Cross multiply
    6,164.86x = 9,247.29 × 9,247.29
  4. Step 4: Simplify right side
    6,164.86x = 85,512,355.01
  5. Step 5: Solve for x
    x = 85,512,355.01/6,164.86
  6. Step 6: Final answer
    x = 13,870.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.