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Finding the Third Proportional to 14,978 and 22,337

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Solution

The third proportional to 14,978 and 22,337 is: 33,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978 : 22,337 = 22,337 : x
  2. Step 2: Convert to fraction form
    14,978/22,337 = 22,337/x
  3. Step 3: Cross multiply
    14,978x = 22,337 × 22,337
  4. Step 4: Simplify right side
    14,978x = 498,941,569
  5. Step 5: Solve for x
    x = 498,941,569/14,978
  6. Step 6: Final answer
    x = 33,311.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.