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Finding the Third Proportional to 1,604.81 and 3,431.53

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Solution

The third proportional to 1,604.81 and 3,431.53 is: 7,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.81 : 3,431.53 = 3,431.53 : x
  2. Step 2: Convert to fraction form
    1,604.81/3,431.53 = 3,431.53/x
  3. Step 3: Cross multiply
    1,604.81x = 3,431.53 × 3,431.53
  4. Step 4: Simplify right side
    1,604.81x = 11,775,406.72
  5. Step 5: Solve for x
    x = 11,775,406.72/1,604.81
  6. Step 6: Final answer
    x = 7,337.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.