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Finding the Third Proportional to 19,042 and 42,451

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Solution

The third proportional to 19,042 and 42,451 is: 94,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,042 : 42,451 = 42,451 : x
  2. Step 2: Convert to fraction form
    19,042/42,451 = 42,451/x
  3. Step 3: Cross multiply
    19,042x = 42,451 × 42,451
  4. Step 4: Simplify right side
    19,042x = 1,802,087,401
  5. Step 5: Solve for x
    x = 1,802,087,401/19,042
  6. Step 6: Final answer
    x = 94,637.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.