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Finding the Third Proportional to 6,474 and 14,178.38

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Solution

The third proportional to 6,474 and 14,178.38 is: 31,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 14,178.38 = 14,178.38 : x
  2. Step 2: Convert to fraction form
    6,474/14,178.38 = 14,178.38/x
  3. Step 3: Cross multiply
    6,474x = 14,178.38 × 14,178.38
  4. Step 4: Simplify right side
    6,474x = 201,026,317.64
  5. Step 5: Solve for x
    x = 201,026,317.64/6,474
  6. Step 6: Final answer
    x = 31,051.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.