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Finding the Third Proportional to 8,024 and 14,896

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Solution

The third proportional to 8,024 and 14,896 is: 27,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024 : 14,896 = 14,896 : x
  2. Step 2: Convert to fraction form
    8,024/14,896 = 14,896/x
  3. Step 3: Cross multiply
    8,024x = 14,896 × 14,896
  4. Step 4: Simplify right side
    8,024x = 221,890,816
  5. Step 5: Solve for x
    x = 221,890,816/8,024
  6. Step 6: Final answer
    x = 27,653.39

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.