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Finding the Third Proportional to 19,671.50 and 43,231

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Solution

The third proportional to 19,671.50 and 43,231 is: 95,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.50 : 43,231 = 43,231 : x
  2. Step 2: Convert to fraction form
    19,671.50/43,231 = 43,231/x
  3. Step 3: Cross multiply
    19,671.50x = 43,231 × 43,231
  4. Step 4: Simplify right side
    19,671.50x = 1,868,919,361
  5. Step 5: Solve for x
    x = 1,868,919,361/19,671.50
  6. Step 6: Final answer
    x = 95,006.45

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Why These Related Problems?

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