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Finding the Third Proportional to 13,147 and 28,843

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Solution

The third proportional to 13,147 and 28,843 is: 63,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147 : 28,843 = 28,843 : x
  2. Step 2: Convert to fraction form
    13,147/28,843 = 28,843/x
  3. Step 3: Cross multiply
    13,147x = 28,843 × 28,843
  4. Step 4: Simplify right side
    13,147x = 831,918,649
  5. Step 5: Solve for x
    x = 831,918,649/13,147
  6. Step 6: Final answer
    x = 63,278.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.