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Finding the Third Proportional to 6,504.05 and 14,128.17

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Solution

The third proportional to 6,504.05 and 14,128.17 is: 30,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.05 : 14,128.17 = 14,128.17 : x
  2. Step 2: Convert to fraction form
    6,504.05/14,128.17 = 14,128.17/x
  3. Step 3: Cross multiply
    6,504.05x = 14,128.17 × 14,128.17
  4. Step 4: Simplify right side
    6,504.05x = 199,605,240.53
  5. Step 5: Solve for x
    x = 199,605,240.53/6,504.05
  6. Step 6: Final answer
    x = 30,689.39

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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.