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Finding the Third Proportional to 40,867 and 64,013

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Solution

The third proportional to 40,867 and 64,013 is: 100,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,867 : 64,013 = 64,013 : x
  2. Step 2: Convert to fraction form
    40,867/64,013 = 64,013/x
  3. Step 3: Cross multiply
    40,867x = 64,013 × 64,013
  4. Step 4: Simplify right side
    40,867x = 4,097,664,169
  5. Step 5: Solve for x
    x = 4,097,664,169/40,867
  6. Step 6: Final answer
    x = 100,268.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.