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Finding the Third Proportional to 44,367 and 67,013

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Solution

The third proportional to 44,367 and 67,013 is: 101,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,367 : 67,013 = 67,013 : x
  2. Step 2: Convert to fraction form
    44,367/67,013 = 67,013/x
  3. Step 3: Cross multiply
    44,367x = 67,013 × 67,013
  4. Step 4: Simplify right side
    44,367x = 4,490,742,169
  5. Step 5: Solve for x
    x = 4,490,742,169/44,367
  6. Step 6: Final answer
    x = 101,218.07

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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.