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Finding the Third Proportional to 21,073.50 and 44,745

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Solution

The third proportional to 21,073.50 and 44,745 is: 95,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073.50 : 44,745 = 44,745 : x
  2. Step 2: Convert to fraction form
    21,073.50/44,745 = 44,745/x
  3. Step 3: Cross multiply
    21,073.50x = 44,745 × 44,745
  4. Step 4: Simplify right side
    21,073.50x = 2,002,115,025
  5. Step 5: Solve for x
    x = 2,002,115,025/21,073.50
  6. Step 6: Final answer
    x = 95,006.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.