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Finding the Third Proportional to 33,925.50 and 76,187.25

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Solution

The third proportional to 33,925.50 and 76,187.25 is: 171,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,925.50 : 76,187.25 = 76,187.25 : x
  2. Step 2: Convert to fraction form
    33,925.50/76,187.25 = 76,187.25/x
  3. Step 3: Cross multiply
    33,925.50x = 76,187.25 × 76,187.25
  4. Step 4: Simplify right side
    33,925.50x = 5,804,497,062.56
  5. Step 5: Solve for x
    x = 5,804,497,062.56/33,925.50
  6. Step 6: Final answer
    x = 171,095.40

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.