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Finding the Third Proportional to 26,742 and 40,017

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Solution

The third proportional to 26,742 and 40,017 is: 59,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742 : 40,017 = 40,017 : x
  2. Step 2: Convert to fraction form
    26,742/40,017 = 40,017/x
  3. Step 3: Cross multiply
    26,742x = 40,017 × 40,017
  4. Step 4: Simplify right side
    26,742x = 1,601,360,289
  5. Step 5: Solve for x
    x = 1,601,360,289/26,742
  6. Step 6: Final answer
    x = 59,881.84

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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.