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Finding the Third Proportional to 6,537.38 and 14,093.16

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Solution

The third proportional to 6,537.38 and 14,093.16 is: 30,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.38 : 14,093.16 = 14,093.16 : x
  2. Step 2: Convert to fraction form
    6,537.38/14,093.16 = 14,093.16/x
  3. Step 3: Cross multiply
    6,537.38x = 14,093.16 × 14,093.16
  4. Step 4: Simplify right side
    6,537.38x = 198,617,053.09
  5. Step 5: Solve for x
    x = 198,617,053.09/6,537.38
  6. Step 6: Final answer
    x = 30,381.77

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Why These Related Problems?

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