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Finding the Third Proportional to 43,048 and 64,615

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Solution

The third proportional to 43,048 and 64,615 is: 96,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,048 : 64,615 = 64,615 : x
  2. Step 2: Convert to fraction form
    43,048/64,615 = 64,615/x
  3. Step 3: Cross multiply
    43,048x = 64,615 × 64,615
  4. Step 4: Simplify right side
    43,048x = 4,175,098,225
  5. Step 5: Solve for x
    x = 4,175,098,225/43,048
  6. Step 6: Final answer
    x = 96,987.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.