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Finding the Third Proportional to 43,982 and 69,968

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Solution

The third proportional to 43,982 and 69,968 is: 111,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,982 : 69,968 = 69,968 : x
  2. Step 2: Convert to fraction form
    43,982/69,968 = 69,968/x
  3. Step 3: Cross multiply
    43,982x = 69,968 × 69,968
  4. Step 4: Simplify right side
    43,982x = 4,895,521,024
  5. Step 5: Solve for x
    x = 4,895,521,024/43,982
  6. Step 6: Final answer
    x = 111,307.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.