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Finding the Third Proportional to 6,885.56 and 14,178.66

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Solution

The third proportional to 6,885.56 and 14,178.66 is: 29,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.56 : 14,178.66 = 14,178.66 : x
  2. Step 2: Convert to fraction form
    6,885.56/14,178.66 = 14,178.66/x
  3. Step 3: Cross multiply
    6,885.56x = 14,178.66 × 14,178.66
  4. Step 4: Simplify right side
    6,885.56x = 201,034,293.06
  5. Step 5: Solve for x
    x = 201,034,293.06/6,885.56
  6. Step 6: Final answer
    x = 29,196.50

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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.