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Finding the Third Proportional to 9,719 and 21,082

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Solution

The third proportional to 9,719 and 21,082 is: 45,730.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719 : 21,082 = 21,082 : x
  2. Step 2: Convert to fraction form
    9,719/21,082 = 21,082/x
  3. Step 3: Cross multiply
    9,719x = 21,082 × 21,082
  4. Step 4: Simplify right side
    9,719x = 444,450,724
  5. Step 5: Solve for x
    x = 444,450,724/9,719
  6. Step 6: Final answer
    x = 45,730.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.