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Finding the Third Proportional to 23,470 and 31,885

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Solution

The third proportional to 23,470 and 31,885 is: 43,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470 : 31,885 = 31,885 : x
  2. Step 2: Convert to fraction form
    23,470/31,885 = 31,885/x
  3. Step 3: Cross multiply
    23,470x = 31,885 × 31,885
  4. Step 4: Simplify right side
    23,470x = 1,016,653,225
  5. Step 5: Solve for x
    x = 1,016,653,225/23,470
  6. Step 6: Final answer
    x = 43,317.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.