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Finding the Third Proportional to 18,894 and 29,061

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Solution

The third proportional to 18,894 and 29,061 is: 44,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,894 : 29,061 = 29,061 : x
  2. Step 2: Convert to fraction form
    18,894/29,061 = 29,061/x
  3. Step 3: Cross multiply
    18,894x = 29,061 × 29,061
  4. Step 4: Simplify right side
    18,894x = 844,541,721
  5. Step 5: Solve for x
    x = 844,541,721/18,894
  6. Step 6: Final answer
    x = 44,698.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.