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Finding the Third Proportional to 11,001 and 23,082

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Solution

The third proportional to 11,001 and 23,082 is: 48,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,001 : 23,082 = 23,082 : x
  2. Step 2: Convert to fraction form
    11,001/23,082 = 23,082/x
  3. Step 3: Cross multiply
    11,001x = 23,082 × 23,082
  4. Step 4: Simplify right side
    11,001x = 532,778,724
  5. Step 5: Solve for x
    x = 532,778,724/11,001
  6. Step 6: Final answer
    x = 48,430.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.