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Finding the Third Proportional to 3,850.03 and 7,705.76

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Solution

The third proportional to 3,850.03 and 7,705.76 is: 15,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.03 : 7,705.76 = 7,705.76 : x
  2. Step 2: Convert to fraction form
    3,850.03/7,705.76 = 7,705.76/x
  3. Step 3: Cross multiply
    3,850.03x = 7,705.76 × 7,705.76
  4. Step 4: Simplify right side
    3,850.03x = 59,378,703.46
  5. Step 5: Solve for x
    x = 59,378,703.46/3,850.03
  6. Step 6: Final answer
    x = 15,422.91

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.