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Finding the Third Proportional to 33,689.25 and 56,144.25

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Solution

The third proportional to 33,689.25 and 56,144.25 is: 93,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,689.25 : 56,144.25 = 56,144.25 : x
  2. Step 2: Convert to fraction form
    33,689.25/56,144.25 = 56,144.25/x
  3. Step 3: Cross multiply
    33,689.25x = 56,144.25 × 56,144.25
  4. Step 4: Simplify right side
    33,689.25x = 3,152,176,808.06
  5. Step 5: Solve for x
    x = 3,152,176,808.06/33,689.25
  6. Step 6: Final answer
    x = 93,566.25

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.