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Finding the Third Proportional to 10,298 and 22,199

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Solution

The third proportional to 10,298 and 22,199 is: 47,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298 : 22,199 = 22,199 : x
  2. Step 2: Convert to fraction form
    10,298/22,199 = 22,199/x
  3. Step 3: Cross multiply
    10,298x = 22,199 × 22,199
  4. Step 4: Simplify right side
    10,298x = 492,795,601
  5. Step 5: Solve for x
    x = 492,795,601/10,298
  6. Step 6: Final answer
    x = 47,853.53

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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.