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Finding the Third Proportional to 19,432 and 41,968

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Solution

The third proportional to 19,432 and 41,968 is: 90,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432 : 41,968 = 41,968 : x
  2. Step 2: Convert to fraction form
    19,432/41,968 = 41,968/x
  3. Step 3: Cross multiply
    19,432x = 41,968 × 41,968
  4. Step 4: Simplify right side
    19,432x = 1,761,313,024
  5. Step 5: Solve for x
    x = 1,761,313,024/19,432
  6. Step 6: Final answer
    x = 90,639.82

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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.