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Finding the Third Proportional to 6,264.94 and 13,622.81

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Solution

The third proportional to 6,264.94 and 13,622.81 is: 29,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.94 : 13,622.81 = 13,622.81 : x
  2. Step 2: Convert to fraction form
    6,264.94/13,622.81 = 13,622.81/x
  3. Step 3: Cross multiply
    6,264.94x = 13,622.81 × 13,622.81
  4. Step 4: Simplify right side
    6,264.94x = 185,581,020.41
  5. Step 5: Solve for x
    x = 185,581,020.41/6,264.94
  6. Step 6: Final answer
    x = 29,622.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.