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Finding the Third Proportional to 14,385.75 and 22,044.75

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Solution

The third proportional to 14,385.75 and 22,044.75 is: 33,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.75 : 22,044.75 = 22,044.75 : x
  2. Step 2: Convert to fraction form
    14,385.75/22,044.75 = 22,044.75/x
  3. Step 3: Cross multiply
    14,385.75x = 22,044.75 × 22,044.75
  4. Step 4: Simplify right side
    14,385.75x = 485,971,002.56
  5. Step 5: Solve for x
    x = 485,971,002.56/14,385.75
  6. Step 6: Final answer
    x = 33,781.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.