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Finding the Third Proportional to 32,286 and 48,615

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Solution

The third proportional to 32,286 and 48,615 is: 73,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286 : 48,615 = 48,615 : x
  2. Step 2: Convert to fraction form
    32,286/48,615 = 48,615/x
  3. Step 3: Cross multiply
    32,286x = 48,615 × 48,615
  4. Step 4: Simplify right side
    32,286x = 2,363,418,225
  5. Step 5: Solve for x
    x = 2,363,418,225/32,286
  6. Step 6: Final answer
    x = 73,202.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.