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Finding the Third Proportional to 19,424 and 42,493

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Solution

The third proportional to 19,424 and 42,493 is: 92,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424 : 42,493 = 42,493 : x
  2. Step 2: Convert to fraction form
    19,424/42,493 = 42,493/x
  3. Step 3: Cross multiply
    19,424x = 42,493 × 42,493
  4. Step 4: Simplify right side
    19,424x = 1,805,655,049
  5. Step 5: Solve for x
    x = 1,805,655,049/19,424
  6. Step 6: Final answer
    x = 92,960.00

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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.