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Finding the Third Proportional to 20,625 and 45,987

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Solution

The third proportional to 20,625 and 45,987 is: 102,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,625 : 45,987 = 45,987 : x
  2. Step 2: Convert to fraction form
    20,625/45,987 = 45,987/x
  3. Step 3: Cross multiply
    20,625x = 45,987 × 45,987
  4. Step 4: Simplify right side
    20,625x = 2,114,804,169
  5. Step 5: Solve for x
    x = 2,114,804,169/20,625
  6. Step 6: Final answer
    x = 102,535.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.