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Finding the Third Proportional to 6,836.27 and 14,937.86

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Solution

The third proportional to 6,836.27 and 14,937.86 is: 32,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.27 : 14,937.86 = 14,937.86 : x
  2. Step 2: Convert to fraction form
    6,836.27/14,937.86 = 14,937.86/x
  3. Step 3: Cross multiply
    6,836.27x = 14,937.86 × 14,937.86
  4. Step 4: Simplify right side
    6,836.27x = 223,139,526.01
  5. Step 5: Solve for x
    x = 223,139,526.01/6,836.27
  6. Step 6: Final answer
    x = 32,640.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.