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Finding the Third Proportional to 28,558.50 and 61,493

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Solution

The third proportional to 28,558.50 and 61,493 is: 132,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,558.50 : 61,493 = 61,493 : x
  2. Step 2: Convert to fraction form
    28,558.50/61,493 = 61,493/x
  3. Step 3: Cross multiply
    28,558.50x = 61,493 × 61,493
  4. Step 4: Simplify right side
    28,558.50x = 3,781,389,049
  5. Step 5: Solve for x
    x = 3,781,389,049/28,558.50
  6. Step 6: Final answer
    x = 132,408.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.