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Finding the Third Proportional to 3,706.17 and 7,979.03

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Solution

The third proportional to 3,706.17 and 7,979.03 is: 17,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.17 : 7,979.03 = 7,979.03 : x
  2. Step 2: Convert to fraction form
    3,706.17/7,979.03 = 7,979.03/x
  3. Step 3: Cross multiply
    3,706.17x = 7,979.03 × 7,979.03
  4. Step 4: Simplify right side
    3,706.17x = 63,664,877.35
  5. Step 5: Solve for x
    x = 63,664,877.35/3,706.17
  6. Step 6: Final answer
    x = 17,178.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.