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Finding the Third Proportional to 2,014.13 and 3,235.13

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Solution

The third proportional to 2,014.13 and 3,235.13 is: 5,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.13 : 3,235.13 = 3,235.13 : x
  2. Step 2: Convert to fraction form
    2,014.13/3,235.13 = 3,235.13/x
  3. Step 3: Cross multiply
    2,014.13x = 3,235.13 × 3,235.13
  4. Step 4: Simplify right side
    2,014.13x = 10,466,033.77
  5. Step 5: Solve for x
    x = 10,466,033.77/2,014.13
  6. Step 6: Final answer
    x = 5,196.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.