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Finding the Third Proportional to 6,298.88 and 13,690.13

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Solution

The third proportional to 6,298.88 and 13,690.13 is: 29,754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.88 : 13,690.13 = 13,690.13 : x
  2. Step 2: Convert to fraction form
    6,298.88/13,690.13 = 13,690.13/x
  3. Step 3: Cross multiply
    6,298.88x = 13,690.13 × 13,690.13
  4. Step 4: Simplify right side
    6,298.88x = 187,419,522.52
  5. Step 5: Solve for x
    x = 187,419,522.52/6,298.88
  6. Step 6: Final answer
    x = 29,754.44

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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.