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Finding the Third Proportional to 19,597 and 43,082

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Solution

The third proportional to 19,597 and 43,082 is: 94,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597 : 43,082 = 43,082 : x
  2. Step 2: Convert to fraction form
    19,597/43,082 = 43,082/x
  3. Step 3: Cross multiply
    19,597x = 43,082 × 43,082
  4. Step 4: Simplify right side
    19,597x = 1,856,058,724
  5. Step 5: Solve for x
    x = 1,856,058,724/19,597
  6. Step 6: Final answer
    x = 94,711.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.