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Finding the Third Proportional to 20,601 and 45,137.25

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Solution

The third proportional to 20,601 and 45,137.25 is: 98,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,601 : 45,137.25 = 45,137.25 : x
  2. Step 2: Convert to fraction form
    20,601/45,137.25 = 45,137.25/x
  3. Step 3: Cross multiply
    20,601x = 45,137.25 × 45,137.25
  4. Step 4: Simplify right side
    20,601x = 2,037,371,337.56
  5. Step 5: Solve for x
    x = 2,037,371,337.56/20,601
  6. Step 6: Final answer
    x = 98,896.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.