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Finding the Third Proportional to 10,326 and 17,082

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Solution

The third proportional to 10,326 and 17,082 is: 28,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326 : 17,082 = 17,082 : x
  2. Step 2: Convert to fraction form
    10,326/17,082 = 17,082/x
  3. Step 3: Cross multiply
    10,326x = 17,082 × 17,082
  4. Step 4: Simplify right side
    10,326x = 291,794,724
  5. Step 5: Solve for x
    x = 291,794,724/10,326
  6. Step 6: Final answer
    x = 28,258.25

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.