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Finding the Third Proportional to 8,336 and 17,968

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Solution

The third proportional to 8,336 and 17,968 is: 38,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336 : 17,968 = 17,968 : x
  2. Step 2: Convert to fraction form
    8,336/17,968 = 17,968/x
  3. Step 3: Cross multiply
    8,336x = 17,968 × 17,968
  4. Step 4: Simplify right side
    8,336x = 322,849,024
  5. Step 5: Solve for x
    x = 322,849,024/8,336
  6. Step 6: Final answer
    x = 38,729.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.