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Finding the Third Proportional to 21,205 and 46,099

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Solution

The third proportional to 21,205 and 46,099 is: 100,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205 : 46,099 = 46,099 : x
  2. Step 2: Convert to fraction form
    21,205/46,099 = 46,099/x
  3. Step 3: Cross multiply
    21,205x = 46,099 × 46,099
  4. Step 4: Simplify right side
    21,205x = 2,125,117,801
  5. Step 5: Solve for x
    x = 2,125,117,801/21,205
  6. Step 6: Final answer
    x = 100,217.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.