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Finding the Third Proportional to 27,191.25 and 32,901.75

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Solution

The third proportional to 27,191.25 and 32,901.75 is: 39,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191.25 : 32,901.75 = 32,901.75 : x
  2. Step 2: Convert to fraction form
    27,191.25/32,901.75 = 32,901.75/x
  3. Step 3: Cross multiply
    27,191.25x = 32,901.75 × 32,901.75
  4. Step 4: Simplify right side
    27,191.25x = 1,082,525,153.06
  5. Step 5: Solve for x
    x = 1,082,525,153.06/27,191.25
  6. Step 6: Final answer
    x = 39,811.53

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.