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Finding the Third Proportional to 6,416.72 and 7,084.97

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Solution

The third proportional to 6,416.72 and 7,084.97 is: 7,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.72 : 7,084.97 = 7,084.97 : x
  2. Step 2: Convert to fraction form
    6,416.72/7,084.97 = 7,084.97/x
  3. Step 3: Cross multiply
    6,416.72x = 7,084.97 × 7,084.97
  4. Step 4: Simplify right side
    6,416.72x = 50,196,782.19
  5. Step 5: Solve for x
    x = 50,196,782.19/6,416.72
  6. Step 6: Final answer
    x = 7,822.81

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.