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Finding the Third Proportional to 2,827.83 and 6,110.86

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Solution

The third proportional to 2,827.83 and 6,110.86 is: 13,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.83 : 6,110.86 = 6,110.86 : x
  2. Step 2: Convert to fraction form
    2,827.83/6,110.86 = 6,110.86/x
  3. Step 3: Cross multiply
    2,827.83x = 6,110.86 × 6,110.86
  4. Step 4: Simplify right side
    2,827.83x = 37,342,602.30
  5. Step 5: Solve for x
    x = 37,342,602.30/2,827.83
  6. Step 6: Final answer
    x = 13,205.40

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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.