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Finding the Third Proportional to 12,833 and 20,373

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Solution

The third proportional to 12,833 and 20,373 is: 32,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833 : 20,373 = 20,373 : x
  2. Step 2: Convert to fraction form
    12,833/20,373 = 20,373/x
  3. Step 3: Cross multiply
    12,833x = 20,373 × 20,373
  4. Step 4: Simplify right side
    12,833x = 415,059,129
  5. Step 5: Solve for x
    x = 415,059,129/12,833
  6. Step 6: Final answer
    x = 32,343.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.