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Finding the Third Proportional to 6,449.63 and 14,129.44

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Solution

The third proportional to 6,449.63 and 14,129.44 is: 30,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.63 : 14,129.44 = 14,129.44 : x
  2. Step 2: Convert to fraction form
    6,449.63/14,129.44 = 14,129.44/x
  3. Step 3: Cross multiply
    6,449.63x = 14,129.44 × 14,129.44
  4. Step 4: Simplify right side
    6,449.63x = 199,641,004.07
  5. Step 5: Solve for x
    x = 199,641,004.07/6,449.63
  6. Step 6: Final answer
    x = 30,953.89

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