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Finding the Third Proportional to 6,661.62 and 14,664.16

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Solution

The third proportional to 6,661.62 and 14,664.16 is: 32,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.62 : 14,664.16 = 14,664.16 : x
  2. Step 2: Convert to fraction form
    6,661.62/14,664.16 = 14,664.16/x
  3. Step 3: Cross multiply
    6,661.62x = 14,664.16 × 14,664.16
  4. Step 4: Simplify right side
    6,661.62x = 215,037,707.65
  5. Step 5: Solve for x
    x = 215,037,707.65/6,661.62
  6. Step 6: Final answer
    x = 32,280.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.