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Finding the Third Proportional to 6,493.50 and 13,797

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Solution

The third proportional to 6,493.50 and 13,797 is: 29,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.50 : 13,797 = 13,797 : x
  2. Step 2: Convert to fraction form
    6,493.50/13,797 = 13,797/x
  3. Step 3: Cross multiply
    6,493.50x = 13,797 × 13,797
  4. Step 4: Simplify right side
    6,493.50x = 190,357,209
  5. Step 5: Solve for x
    x = 190,357,209/6,493.50
  6. Step 6: Final answer
    x = 29,315.04

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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.