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Finding the Third Proportional to 3,001.92 and 6,522.96

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Solution

The third proportional to 3,001.92 and 6,522.96 is: 14,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.92 : 6,522.96 = 6,522.96 : x
  2. Step 2: Convert to fraction form
    3,001.92/6,522.96 = 6,522.96/x
  3. Step 3: Cross multiply
    3,001.92x = 6,522.96 × 6,522.96
  4. Step 4: Simplify right side
    3,001.92x = 42,549,019.39
  5. Step 5: Solve for x
    x = 42,549,019.39/3,001.92
  6. Step 6: Final answer
    x = 14,173.93

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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.