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Finding the Third Proportional to 14,976 and 23,493

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Solution

The third proportional to 14,976 and 23,493 is: 36,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 23,493 = 23,493 : x
  2. Step 2: Convert to fraction form
    14,976/23,493 = 23,493/x
  3. Step 3: Cross multiply
    14,976x = 23,493 × 23,493
  4. Step 4: Simplify right side
    14,976x = 551,921,049
  5. Step 5: Solve for x
    x = 551,921,049/14,976
  6. Step 6: Final answer
    x = 36,853.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.