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Finding the Third Proportional to 6,197.20 and 13,567.78

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Solution

The third proportional to 6,197.20 and 13,567.78 is: 29,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.20 : 13,567.78 = 13,567.78 : x
  2. Step 2: Convert to fraction form
    6,197.20/13,567.78 = 13,567.78/x
  3. Step 3: Cross multiply
    6,197.20x = 13,567.78 × 13,567.78
  4. Step 4: Simplify right side
    6,197.20x = 184,084,688.05
  5. Step 5: Solve for x
    x = 184,084,688.05/6,197.20
  6. Step 6: Final answer
    x = 29,704.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.