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Finding the Third Proportional to 19,406 and 42,496

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Solution

The third proportional to 19,406 and 42,496 is: 93,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406 : 42,496 = 42,496 : x
  2. Step 2: Convert to fraction form
    19,406/42,496 = 42,496/x
  3. Step 3: Cross multiply
    19,406x = 42,496 × 42,496
  4. Step 4: Simplify right side
    19,406x = 1,805,910,016
  5. Step 5: Solve for x
    x = 1,805,910,016/19,406
  6. Step 6: Final answer
    x = 93,059.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.