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Finding the Third Proportional to 3,084.01 and 6,706.23

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Solution

The third proportional to 3,084.01 and 6,706.23 is: 14,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.01 : 6,706.23 = 6,706.23 : x
  2. Step 2: Convert to fraction form
    3,084.01/6,706.23 = 6,706.23/x
  3. Step 3: Cross multiply
    3,084.01x = 6,706.23 × 6,706.23
  4. Step 4: Simplify right side
    3,084.01x = 44,973,527.10
  5. Step 5: Solve for x
    x = 44,973,527.10/3,084.01
  6. Step 6: Final answer
    x = 14,582.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.