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Finding the Third Proportional to 3,203.72 and 6,886.69

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Solution

The third proportional to 3,203.72 and 6,886.69 is: 14,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.72 : 6,886.69 = 6,886.69 : x
  2. Step 2: Convert to fraction form
    3,203.72/6,886.69 = 6,886.69/x
  3. Step 3: Cross multiply
    3,203.72x = 6,886.69 × 6,886.69
  4. Step 4: Simplify right side
    3,203.72x = 47,426,464.72
  5. Step 5: Solve for x
    x = 47,426,464.72/3,203.72
  6. Step 6: Final answer
    x = 14,803.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.