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Finding the Third Proportional to 6,287.63 and 13,395.38

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Solution

The third proportional to 6,287.63 and 13,395.38 is: 28,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.63 : 13,395.38 = 13,395.38 : x
  2. Step 2: Convert to fraction form
    6,287.63/13,395.38 = 13,395.38/x
  3. Step 3: Cross multiply
    6,287.63x = 13,395.38 × 13,395.38
  4. Step 4: Simplify right side
    6,287.63x = 179,436,071.39
  5. Step 5: Solve for x
    x = 179,436,071.39/6,287.63
  6. Step 6: Final answer
    x = 28,537.97

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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.