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Finding the Third Proportional to 6,325 and 14,657

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Solution

The third proportional to 6,325 and 14,657 is: 33,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325 : 14,657 = 14,657 : x
  2. Step 2: Convert to fraction form
    6,325/14,657 = 14,657/x
  3. Step 3: Cross multiply
    6,325x = 14,657 × 14,657
  4. Step 4: Simplify right side
    6,325x = 214,827,649
  5. Step 5: Solve for x
    x = 214,827,649/6,325
  6. Step 6: Final answer
    x = 33,964.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.