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Finding the Third Proportional to 19,536 and 41,664

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Solution

The third proportional to 19,536 and 41,664 is: 88,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536 : 41,664 = 41,664 : x
  2. Step 2: Convert to fraction form
    19,536/41,664 = 41,664/x
  3. Step 3: Cross multiply
    19,536x = 41,664 × 41,664
  4. Step 4: Simplify right side
    19,536x = 1,735,888,896
  5. Step 5: Solve for x
    x = 1,735,888,896/19,536
  6. Step 6: Final answer
    x = 88,855.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.