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Finding the Third Proportional to 6,497 and 14,228

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Solution

The third proportional to 6,497 and 14,228 is: 31,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497 : 14,228 = 14,228 : x
  2. Step 2: Convert to fraction form
    6,497/14,228 = 14,228/x
  3. Step 3: Cross multiply
    6,497x = 14,228 × 14,228
  4. Step 4: Simplify right side
    6,497x = 202,435,984
  5. Step 5: Solve for x
    x = 202,435,984/6,497
  6. Step 6: Final answer
    x = 31,158.38

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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.