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Finding the Third Proportional to 14,155.50 and 21,231

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Solution

The third proportional to 14,155.50 and 21,231 is: 31,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,155.50 : 21,231 = 21,231 : x
  2. Step 2: Convert to fraction form
    14,155.50/21,231 = 21,231/x
  3. Step 3: Cross multiply
    14,155.50x = 21,231 × 21,231
  4. Step 4: Simplify right side
    14,155.50x = 450,755,361
  5. Step 5: Solve for x
    x = 450,755,361/14,155.50
  6. Step 6: Final answer
    x = 31,843.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.