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Finding the Third Proportional to 6,399 and 13,192.88

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Solution

The third proportional to 6,399 and 13,192.88 is: 27,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399 : 13,192.88 = 13,192.88 : x
  2. Step 2: Convert to fraction form
    6,399/13,192.88 = 13,192.88/x
  3. Step 3: Cross multiply
    6,399x = 13,192.88 × 13,192.88
  4. Step 4: Simplify right side
    6,399x = 174,051,950.77
  5. Step 5: Solve for x
    x = 174,051,950.77/6,399
  6. Step 6: Final answer
    x = 27,199.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.