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Finding the Third Proportional to 11,632 and 18,724

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Solution

The third proportional to 11,632 and 18,724 is: 30,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632 : 18,724 = 18,724 : x
  2. Step 2: Convert to fraction form
    11,632/18,724 = 18,724/x
  3. Step 3: Cross multiply
    11,632x = 18,724 × 18,724
  4. Step 4: Simplify right side
    11,632x = 350,588,176
  5. Step 5: Solve for x
    x = 350,588,176/11,632
  6. Step 6: Final answer
    x = 30,139.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.