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Finding the Third Proportional to 6,842.25 and 14,776.88

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Solution

The third proportional to 6,842.25 and 14,776.88 is: 31,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.25 : 14,776.88 = 14,776.88 : x
  2. Step 2: Convert to fraction form
    6,842.25/14,776.88 = 14,776.88/x
  3. Step 3: Cross multiply
    6,842.25x = 14,776.88 × 14,776.88
  4. Step 4: Simplify right side
    6,842.25x = 218,356,034.77
  5. Step 5: Solve for x
    x = 218,356,034.77/6,842.25
  6. Step 6: Final answer
    x = 31,912.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.