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Finding the Third Proportional to 11,632 and 18,664

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Solution

The third proportional to 11,632 and 18,664 is: 29,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632 : 18,664 = 18,664 : x
  2. Step 2: Convert to fraction form
    11,632/18,664 = 18,664/x
  3. Step 3: Cross multiply
    11,632x = 18,664 × 18,664
  4. Step 4: Simplify right side
    11,632x = 348,344,896
  5. Step 5: Solve for x
    x = 348,344,896/11,632
  6. Step 6: Final answer
    x = 29,947.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.