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Finding the Third Proportional to 3,212.16 and 4,498.03

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Solution

The third proportional to 3,212.16 and 4,498.03 is: 6,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.16 : 4,498.03 = 4,498.03 : x
  2. Step 2: Convert to fraction form
    3,212.16/4,498.03 = 4,498.03/x
  3. Step 3: Cross multiply
    3,212.16x = 4,498.03 × 4,498.03
  4. Step 4: Simplify right side
    3,212.16x = 20,232,285.13
  5. Step 5: Solve for x
    x = 20,232,285.13/3,212.16
  6. Step 6: Final answer
    x = 6,298.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.