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Finding the Third Proportional to 23,708 and 35,742

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Solution

The third proportional to 23,708 and 35,742 is: 53,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,708 : 35,742 = 35,742 : x
  2. Step 2: Convert to fraction form
    23,708/35,742 = 35,742/x
  3. Step 3: Cross multiply
    23,708x = 35,742 × 35,742
  4. Step 4: Simplify right side
    23,708x = 1,277,490,564
  5. Step 5: Solve for x
    x = 1,277,490,564/23,708
  6. Step 6: Final answer
    x = 53,884.37

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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.