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Finding the Third Proportional to 23,742 and 36,909

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Solution

The third proportional to 23,742 and 36,909 is: 57,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,742 : 36,909 = 36,909 : x
  2. Step 2: Convert to fraction form
    23,742/36,909 = 36,909/x
  3. Step 3: Cross multiply
    23,742x = 36,909 × 36,909
  4. Step 4: Simplify right side
    23,742x = 1,362,274,281
  5. Step 5: Solve for x
    x = 1,362,274,281/23,742
  6. Step 6: Final answer
    x = 57,378.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.