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Finding the Third Proportional to 23,047 and 35,651

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Solution

The third proportional to 23,047 and 35,651 is: 55,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047 : 35,651 = 35,651 : x
  2. Step 2: Convert to fraction form
    23,047/35,651 = 35,651/x
  3. Step 3: Cross multiply
    23,047x = 35,651 × 35,651
  4. Step 4: Simplify right side
    23,047x = 1,270,993,801
  5. Step 5: Solve for x
    x = 1,270,993,801/23,047
  6. Step 6: Final answer
    x = 55,147.91

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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.