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Finding the Third Proportional to 10,202.75 and 21,635.75

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Solution

The third proportional to 10,202.75 and 21,635.75 is: 45,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.75 : 21,635.75 = 21,635.75 : x
  2. Step 2: Convert to fraction form
    10,202.75/21,635.75 = 21,635.75/x
  3. Step 3: Cross multiply
    10,202.75x = 21,635.75 × 21,635.75
  4. Step 4: Simplify right side
    10,202.75x = 468,105,678.06
  5. Step 5: Solve for x
    x = 468,105,678.06/10,202.75
  6. Step 6: Final answer
    x = 45,880.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.