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Finding the Third Proportional to 6,498.56 and 14,022.28

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Solution

The third proportional to 6,498.56 and 14,022.28 is: 30,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.56 : 14,022.28 = 14,022.28 : x
  2. Step 2: Convert to fraction form
    6,498.56/14,022.28 = 14,022.28/x
  3. Step 3: Cross multiply
    6,498.56x = 14,022.28 × 14,022.28
  4. Step 4: Simplify right side
    6,498.56x = 196,624,371.45
  5. Step 5: Solve for x
    x = 196,624,371.45/6,498.56
  6. Step 6: Final answer
    x = 30,256.59

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