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Finding the Third Proportional to 6,264.94 and 13,342.13

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Solution

The third proportional to 6,264.94 and 13,342.13 is: 28,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.94 : 13,342.13 = 13,342.13 : x
  2. Step 2: Convert to fraction form
    6,264.94/13,342.13 = 13,342.13/x
  3. Step 3: Cross multiply
    6,264.94x = 13,342.13 × 13,342.13
  4. Step 4: Simplify right side
    6,264.94x = 178,012,299.52
  5. Step 5: Solve for x
    x = 178,012,299.52/6,264.94
  6. Step 6: Final answer
    x = 28,414.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.