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Finding the Third Proportional to 6,842.92 and 9,995.27

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Solution

The third proportional to 6,842.92 and 9,995.27 is: 14,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.92 : 9,995.27 = 9,995.27 : x
  2. Step 2: Convert to fraction form
    6,842.92/9,995.27 = 9,995.27/x
  3. Step 3: Cross multiply
    6,842.92x = 9,995.27 × 9,995.27
  4. Step 4: Simplify right side
    6,842.92x = 99,905,491.09
  5. Step 5: Solve for x
    x = 99,905,491.09/6,842.92
  6. Step 6: Final answer
    x = 14,599.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.