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Finding the Third Proportional to 2,365.03 and 3,709.97

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Solution

The third proportional to 2,365.03 and 3,709.97 is: 5,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.03 : 3,709.97 = 3,709.97 : x
  2. Step 2: Convert to fraction form
    2,365.03/3,709.97 = 3,709.97/x
  3. Step 3: Cross multiply
    2,365.03x = 3,709.97 × 3,709.97
  4. Step 4: Simplify right side
    2,365.03x = 13,763,868.13
  5. Step 5: Solve for x
    x = 13,763,868.13/2,365.03
  6. Step 6: Final answer
    x = 5,819.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.