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Finding the Third Proportional to 14,976 and 19,096

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Solution

The third proportional to 14,976 and 19,096 is: 24,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 19,096 = 19,096 : x
  2. Step 2: Convert to fraction form
    14,976/19,096 = 19,096/x
  3. Step 3: Cross multiply
    14,976x = 19,096 × 19,096
  4. Step 4: Simplify right side
    14,976x = 364,657,216
  5. Step 5: Solve for x
    x = 364,657,216/14,976
  6. Step 6: Final answer
    x = 24,349.44

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.