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Finding the Third Proportional to 6,507.84 and 14,257.27

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Solution

The third proportional to 6,507.84 and 14,257.27 is: 31,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.84 : 14,257.27 = 14,257.27 : x
  2. Step 2: Convert to fraction form
    6,507.84/14,257.27 = 14,257.27/x
  3. Step 3: Cross multiply
    6,507.84x = 14,257.27 × 14,257.27
  4. Step 4: Simplify right side
    6,507.84x = 203,269,623.10
  5. Step 5: Solve for x
    x = 203,269,623.10/6,507.84
  6. Step 6: Final answer
    x = 31,234.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.