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Finding the Third Proportional to 21,802 and 46,225

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Solution

The third proportional to 21,802 and 46,225 is: 98,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802 : 46,225 = 46,225 : x
  2. Step 2: Convert to fraction form
    21,802/46,225 = 46,225/x
  3. Step 3: Cross multiply
    21,802x = 46,225 × 46,225
  4. Step 4: Simplify right side
    21,802x = 2,136,750,625
  5. Step 5: Solve for x
    x = 2,136,750,625/21,802
  6. Step 6: Final answer
    x = 98,007.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.