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Finding the Third Proportional to 4,709.81 and 10,202.63

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Solution

The third proportional to 4,709.81 and 10,202.63 is: 22,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.81 : 10,202.63 = 10,202.63 : x
  2. Step 2: Convert to fraction form
    4,709.81/10,202.63 = 10,202.63/x
  3. Step 3: Cross multiply
    4,709.81x = 10,202.63 × 10,202.63
  4. Step 4: Simplify right side
    4,709.81x = 104,093,556.89
  5. Step 5: Solve for x
    x = 104,093,556.89/4,709.81
  6. Step 6: Final answer
    x = 22,101.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.