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Finding the Third Proportional to 8,099 and 13,224.94

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Solution

The third proportional to 8,099 and 13,224.94 is: 21,595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099 : 13,224.94 = 13,224.94 : x
  2. Step 2: Convert to fraction form
    8,099/13,224.94 = 13,224.94/x
  3. Step 3: Cross multiply
    8,099x = 13,224.94 × 13,224.94
  4. Step 4: Simplify right side
    8,099x = 174,898,971.88
  5. Step 5: Solve for x
    x = 174,898,971.88/8,099
  6. Step 6: Final answer
    x = 21,595.13

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.