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Finding the Third Proportional to 23,532 and 33,998

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Solution

The third proportional to 23,532 and 33,998 is: 49,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532 : 33,998 = 33,998 : x
  2. Step 2: Convert to fraction form
    23,532/33,998 = 33,998/x
  3. Step 3: Cross multiply
    23,532x = 33,998 × 33,998
  4. Step 4: Simplify right side
    23,532x = 1,155,864,004
  5. Step 5: Solve for x
    x = 1,155,864,004/23,532
  6. Step 6: Final answer
    x = 49,118.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.