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Finding the Third Proportional to 1,605.66 and 3,129.47

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Solution

The third proportional to 1,605.66 and 3,129.47 is: 6,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.66 : 3,129.47 = 3,129.47 : x
  2. Step 2: Convert to fraction form
    1,605.66/3,129.47 = 3,129.47/x
  3. Step 3: Cross multiply
    1,605.66x = 3,129.47 × 3,129.47
  4. Step 4: Simplify right side
    1,605.66x = 9,793,574.66
  5. Step 5: Solve for x
    x = 9,793,574.66/1,605.66
  6. Step 6: Final answer
    x = 6,099.42

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.