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Finding the Third Proportional to 6,926.34 and 14,837.34

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Solution

The third proportional to 6,926.34 and 14,837.34 is: 31,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.34 : 14,837.34 = 14,837.34 : x
  2. Step 2: Convert to fraction form
    6,926.34/14,837.34 = 14,837.34/x
  3. Step 3: Cross multiply
    6,926.34x = 14,837.34 × 14,837.34
  4. Step 4: Simplify right side
    6,926.34x = 220,146,769.56
  5. Step 5: Solve for x
    x = 220,146,769.56/6,926.34
  6. Step 6: Final answer
    x = 31,783.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.