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Finding the Third Proportional to 5,473.34 and 8,668.17

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Solution

The third proportional to 5,473.34 and 8,668.17 is: 13,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.34 : 8,668.17 = 8,668.17 : x
  2. Step 2: Convert to fraction form
    5,473.34/8,668.17 = 8,668.17/x
  3. Step 3: Cross multiply
    5,473.34x = 8,668.17 × 8,668.17
  4. Step 4: Simplify right side
    5,473.34x = 75,137,203.65
  5. Step 5: Solve for x
    x = 75,137,203.65/5,473.34
  6. Step 6: Final answer
    x = 13,727.84

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.