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Finding the Third Proportional to 19,760 and 42,796

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Solution

The third proportional to 19,760 and 42,796 is: 92,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760 : 42,796 = 42,796 : x
  2. Step 2: Convert to fraction form
    19,760/42,796 = 42,796/x
  3. Step 3: Cross multiply
    19,760x = 42,796 × 42,796
  4. Step 4: Simplify right side
    19,760x = 1,831,497,616
  5. Step 5: Solve for x
    x = 1,831,497,616/19,760
  6. Step 6: Final answer
    x = 92,687.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.