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Finding the Third Proportional to 19,834 and 42,934

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Solution

The third proportional to 19,834 and 42,934 is: 92,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834 : 42,934 = 42,934 : x
  2. Step 2: Convert to fraction form
    19,834/42,934 = 42,934/x
  3. Step 3: Cross multiply
    19,834x = 42,934 × 42,934
  4. Step 4: Simplify right side
    19,834x = 1,843,328,356
  5. Step 5: Solve for x
    x = 1,843,328,356/19,834
  6. Step 6: Final answer
    x = 92,937.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.