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Finding the Third Proportional to 6,197.63 and 12,909.38

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Solution

The third proportional to 6,197.63 and 12,909.38 is: 26,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.63 : 12,909.38 = 12,909.38 : x
  2. Step 2: Convert to fraction form
    6,197.63/12,909.38 = 12,909.38/x
  3. Step 3: Cross multiply
    6,197.63x = 12,909.38 × 12,909.38
  4. Step 4: Simplify right side
    6,197.63x = 166,651,962.89
  5. Step 5: Solve for x
    x = 166,651,962.89/6,197.63
  6. Step 6: Final answer
    x = 26,889.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.