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Finding the Third Proportional to 20,046 and 30,069

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Solution

The third proportional to 20,046 and 30,069 is: 45,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046 : 30,069 = 30,069 : x
  2. Step 2: Convert to fraction form
    20,046/30,069 = 30,069/x
  3. Step 3: Cross multiply
    20,046x = 30,069 × 30,069
  4. Step 4: Simplify right side
    20,046x = 904,144,761
  5. Step 5: Solve for x
    x = 904,144,761/20,046
  6. Step 6: Final answer
    x = 45,103.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.