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Finding the Third Proportional to 33,669 and 51,235.88

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Solution

The third proportional to 33,669 and 51,235.88 is: 77,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,669 : 51,235.88 = 51,235.88 : x
  2. Step 2: Convert to fraction form
    33,669/51,235.88 = 51,235.88/x
  3. Step 3: Cross multiply
    33,669x = 51,235.88 × 51,235.88
  4. Step 4: Simplify right side
    33,669x = 2,625,114,887.02
  5. Step 5: Solve for x
    x = 2,625,114,887.02/33,669
  6. Step 6: Final answer
    x = 77,968.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.