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Finding the Third Proportional to 17,763.38 and 38,294.25

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Solution

The third proportional to 17,763.38 and 38,294.25 is: 82,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.38 : 38,294.25 = 38,294.25 : x
  2. Step 2: Convert to fraction form
    17,763.38/38,294.25 = 38,294.25/x
  3. Step 3: Cross multiply
    17,763.38x = 38,294.25 × 38,294.25
  4. Step 4: Simplify right side
    17,763.38x = 1,466,449,583.06
  5. Step 5: Solve for x
    x = 1,466,449,583.06/17,763.38
  6. Step 6: Final answer
    x = 82,554.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.