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Finding the Third Proportional to 10,199 and 22,029

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Solution

The third proportional to 10,199 and 22,029 is: 47,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199 : 22,029 = 22,029 : x
  2. Step 2: Convert to fraction form
    10,199/22,029 = 22,029/x
  3. Step 3: Cross multiply
    10,199x = 22,029 × 22,029
  4. Step 4: Simplify right side
    10,199x = 485,276,841
  5. Step 5: Solve for x
    x = 485,276,841/10,199
  6. Step 6: Final answer
    x = 47,580.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.