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Finding the Third Proportional to 4,184.06 and 6,727.13

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Solution

The third proportional to 4,184.06 and 6,727.13 is: 10,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.06 : 6,727.13 = 6,727.13 : x
  2. Step 2: Convert to fraction form
    4,184.06/6,727.13 = 6,727.13/x
  3. Step 3: Cross multiply
    4,184.06x = 6,727.13 × 6,727.13
  4. Step 4: Simplify right side
    4,184.06x = 45,254,210.77
  5. Step 5: Solve for x
    x = 45,254,210.77/4,184.06
  6. Step 6: Final answer
    x = 10,815.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.