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Finding the Third Proportional to 23,249 and 35,092

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Solution

The third proportional to 23,249 and 35,092 is: 52,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249 : 35,092 = 35,092 : x
  2. Step 2: Convert to fraction form
    23,249/35,092 = 35,092/x
  3. Step 3: Cross multiply
    23,249x = 35,092 × 35,092
  4. Step 4: Simplify right side
    23,249x = 1,231,448,464
  5. Step 5: Solve for x
    x = 1,231,448,464/23,249
  6. Step 6: Final answer
    x = 52,967.80

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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.