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Finding the Third Proportional to 1,605.66 and 3,484.27

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Solution

The third proportional to 1,605.66 and 3,484.27 is: 7,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.66 : 3,484.27 = 3,484.27 : x
  2. Step 2: Convert to fraction form
    1,605.66/3,484.27 = 3,484.27/x
  3. Step 3: Cross multiply
    1,605.66x = 3,484.27 × 3,484.27
  4. Step 4: Simplify right side
    1,605.66x = 12,140,106.95
  5. Step 5: Solve for x
    x = 12,140,106.95/1,605.66
  6. Step 6: Final answer
    x = 7,560.84

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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.