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Finding the Third Proportional to 3,234.52 and 6,930.14

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Solution

The third proportional to 3,234.52 and 6,930.14 is: 14,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.52 : 6,930.14 = 6,930.14 : x
  2. Step 2: Convert to fraction form
    3,234.52/6,930.14 = 6,930.14/x
  3. Step 3: Cross multiply
    3,234.52x = 6,930.14 × 6,930.14
  4. Step 4: Simplify right side
    3,234.52x = 48,026,849.08
  5. Step 5: Solve for x
    x = 48,026,849.08/3,234.52
  6. Step 6: Final answer
    x = 14,848.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.