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Finding the Third Proportional to 23,398 and 35,036

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Solution

The third proportional to 23,398 and 35,036 is: 52,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,398 : 35,036 = 35,036 : x
  2. Step 2: Convert to fraction form
    23,398/35,036 = 35,036/x
  3. Step 3: Cross multiply
    23,398x = 35,036 × 35,036
  4. Step 4: Simplify right side
    23,398x = 1,227,521,296
  5. Step 5: Solve for x
    x = 1,227,521,296/23,398
  6. Step 6: Final answer
    x = 52,462.66

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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.