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Finding the Third Proportional to 23,384 and 34,996

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Solution

The third proportional to 23,384 and 34,996 is: 52,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384 : 34,996 = 34,996 : x
  2. Step 2: Convert to fraction form
    23,384/34,996 = 34,996/x
  3. Step 3: Cross multiply
    23,384x = 34,996 × 34,996
  4. Step 4: Simplify right side
    23,384x = 1,224,720,016
  5. Step 5: Solve for x
    x = 1,224,720,016/23,384
  6. Step 6: Final answer
    x = 52,374.27

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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.