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Finding the Third Proportional to 4,016.25 and 8,702.77

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Solution

The third proportional to 4,016.25 and 8,702.77 is: 18,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.25 : 8,702.77 = 8,702.77 : x
  2. Step 2: Convert to fraction form
    4,016.25/8,702.77 = 8,702.77/x
  3. Step 3: Cross multiply
    4,016.25x = 8,702.77 × 8,702.77
  4. Step 4: Simplify right side
    4,016.25x = 75,738,129.52
  5. Step 5: Solve for x
    x = 75,738,129.52/4,016.25
  6. Step 6: Final answer
    x = 18,857.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.