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Finding the Third Proportional to 1,753.03 and 3,812.34

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Solution

The third proportional to 1,753.03 and 3,812.34 is: 8,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.03 : 3,812.34 = 3,812.34 : x
  2. Step 2: Convert to fraction form
    1,753.03/3,812.34 = 3,812.34/x
  3. Step 3: Cross multiply
    1,753.03x = 3,812.34 × 3,812.34
  4. Step 4: Simplify right side
    1,753.03x = 14,533,964.87
  5. Step 5: Solve for x
    x = 14,533,964.87/1,753.03
  6. Step 6: Final answer
    x = 8,290.76

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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.