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Finding the Third Proportional to 3,743.72 and 8,153.16

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Solution

The third proportional to 3,743.72 and 8,153.16 is: 17,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.72 : 8,153.16 = 8,153.16 : x
  2. Step 2: Convert to fraction form
    3,743.72/8,153.16 = 8,153.16/x
  3. Step 3: Cross multiply
    3,743.72x = 8,153.16 × 8,153.16
  4. Step 4: Simplify right side
    3,743.72x = 66,473,956.84
  5. Step 5: Solve for x
    x = 66,473,956.84/3,743.72
  6. Step 6: Final answer
    x = 17,756.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.