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Finding the Third Proportional to 1,618.10 and 3,491.86

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Solution

The third proportional to 1,618.10 and 3,491.86 is: 7,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.10 : 3,491.86 = 3,491.86 : x
  2. Step 2: Convert to fraction form
    1,618.10/3,491.86 = 3,491.86/x
  3. Step 3: Cross multiply
    1,618.10x = 3,491.86 × 3,491.86
  4. Step 4: Simplify right side
    1,618.10x = 12,193,081.89
  5. Step 5: Solve for x
    x = 12,193,081.89/1,618.10
  6. Step 6: Final answer
    x = 7,535.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.