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Finding the Third Proportional to 3,247.69 and 6,882.94

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Solution

The third proportional to 3,247.69 and 6,882.94 is: 14,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.69 : 6,882.94 = 6,882.94 : x
  2. Step 2: Convert to fraction form
    3,247.69/6,882.94 = 6,882.94/x
  3. Step 3: Cross multiply
    3,247.69x = 6,882.94 × 6,882.94
  4. Step 4: Simplify right side
    3,247.69x = 47,374,828.63
  5. Step 5: Solve for x
    x = 47,374,828.63/3,247.69
  6. Step 6: Final answer
    x = 14,587.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.