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Finding the Third Proportional to 6,149.04 and 8,674.91

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Solution

The third proportional to 6,149.04 and 8,674.91 is: 12,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.04 : 8,674.91 = 8,674.91 : x
  2. Step 2: Convert to fraction form
    6,149.04/8,674.91 = 8,674.91/x
  3. Step 3: Cross multiply
    6,149.04x = 8,674.91 × 8,674.91
  4. Step 4: Simplify right side
    6,149.04x = 75,254,066.22
  5. Step 5: Solve for x
    x = 75,254,066.22/6,149.04
  6. Step 6: Final answer
    x = 12,238.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.