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Finding the Third Proportional to 21,800 and 46,221

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Solution

The third proportional to 21,800 and 46,221 is: 97,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800 : 46,221 = 46,221 : x
  2. Step 2: Convert to fraction form
    21,800/46,221 = 46,221/x
  3. Step 3: Cross multiply
    21,800x = 46,221 × 46,221
  4. Step 4: Simplify right side
    21,800x = 2,136,380,841
  5. Step 5: Solve for x
    x = 2,136,380,841/21,800
  6. Step 6: Final answer
    x = 97,999.12

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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.