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Finding the Third Proportional to 6,857.79 and 14,738.63

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Solution

The third proportional to 6,857.79 and 14,738.63 is: 31,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.79 : 14,738.63 = 14,738.63 : x
  2. Step 2: Convert to fraction form
    6,857.79/14,738.63 = 14,738.63/x
  3. Step 3: Cross multiply
    6,857.79x = 14,738.63 × 14,738.63
  4. Step 4: Simplify right side
    6,857.79x = 217,227,066.89
  5. Step 5: Solve for x
    x = 217,227,066.89/6,857.79
  6. Step 6: Final answer
    x = 31,675.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.