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Finding the Third Proportional to 22,660 and 34,999

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Solution

The third proportional to 22,660 and 34,999 is: 54,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660 : 34,999 = 34,999 : x
  2. Step 2: Convert to fraction form
    22,660/34,999 = 34,999/x
  3. Step 3: Cross multiply
    22,660x = 34,999 × 34,999
  4. Step 4: Simplify right side
    22,660x = 1,224,930,001
  5. Step 5: Solve for x
    x = 1,224,930,001/22,660
  6. Step 6: Final answer
    x = 54,056.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.