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Finding the Third Proportional to 19,492 and 42,872

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Solution

The third proportional to 19,492 and 42,872 is: 94,295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,492 : 42,872 = 42,872 : x
  2. Step 2: Convert to fraction form
    19,492/42,872 = 42,872/x
  3. Step 3: Cross multiply
    19,492x = 42,872 × 42,872
  4. Step 4: Simplify right side
    19,492x = 1,838,008,384
  5. Step 5: Solve for x
    x = 1,838,008,384/19,492
  6. Step 6: Final answer
    x = 94,295.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.