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Finding the Third Proportional to 6,800.48 and 14,216.06

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Solution

The third proportional to 6,800.48 and 14,216.06 is: 29,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.48 : 14,216.06 = 14,216.06 : x
  2. Step 2: Convert to fraction form
    6,800.48/14,216.06 = 14,216.06/x
  3. Step 3: Cross multiply
    6,800.48x = 14,216.06 × 14,216.06
  4. Step 4: Simplify right side
    6,800.48x = 202,096,433.00
  5. Step 5: Solve for x
    x = 202,096,433.00/6,800.48
  6. Step 6: Final answer
    x = 29,717.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.