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Finding the Third Proportional to 10,100 and 18,664

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Solution

The third proportional to 10,100 and 18,664 is: 34,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100 : 18,664 = 18,664 : x
  2. Step 2: Convert to fraction form
    10,100/18,664 = 18,664/x
  3. Step 3: Cross multiply
    10,100x = 18,664 × 18,664
  4. Step 4: Simplify right side
    10,100x = 348,344,896
  5. Step 5: Solve for x
    x = 348,344,896/10,100
  6. Step 6: Final answer
    x = 34,489.59

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.