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Finding the Third Proportional to 6,494.63 and 14,027.06

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Solution

The third proportional to 6,494.63 and 14,027.06 is: 30,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.63 : 14,027.06 = 14,027.06 : x
  2. Step 2: Convert to fraction form
    6,494.63/14,027.06 = 14,027.06/x
  3. Step 3: Cross multiply
    6,494.63x = 14,027.06 × 14,027.06
  4. Step 4: Simplify right side
    6,494.63x = 196,758,482.38
  5. Step 5: Solve for x
    x = 196,758,482.38/6,494.63
  6. Step 6: Final answer
    x = 30,295.59

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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.