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Finding the Third Proportional to 6,259.15 and 13,611.80

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Solution

The third proportional to 6,259.15 and 13,611.80 is: 29,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.15 : 13,611.80 = 13,611.80 : x
  2. Step 2: Convert to fraction form
    6,259.15/13,611.80 = 13,611.80/x
  3. Step 3: Cross multiply
    6,259.15x = 13,611.80 × 13,611.80
  4. Step 4: Simplify right side
    6,259.15x = 185,281,014.17
  5. Step 5: Solve for x
    x = 185,281,014.17/6,259.15
  6. Step 6: Final answer
    x = 29,601.63

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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.