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Finding the Third Proportional to 23,077 and 32,999

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Solution

The third proportional to 23,077 and 32,999 is: 47,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077 : 32,999 = 32,999 : x
  2. Step 2: Convert to fraction form
    23,077/32,999 = 32,999/x
  3. Step 3: Cross multiply
    23,077x = 32,999 × 32,999
  4. Step 4: Simplify right side
    23,077x = 1,088,934,001
  5. Step 5: Solve for x
    x = 1,088,934,001/23,077
  6. Step 6: Final answer
    x = 47,186.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.