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Finding the Third Proportional to 6,362.61 and 13,749.43

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Solution

The third proportional to 6,362.61 and 13,749.43 is: 29,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.61 : 13,749.43 = 13,749.43 : x
  2. Step 2: Convert to fraction form
    6,362.61/13,749.43 = 13,749.43/x
  3. Step 3: Cross multiply
    6,362.61x = 13,749.43 × 13,749.43
  4. Step 4: Simplify right side
    6,362.61x = 189,046,924.15
  5. Step 5: Solve for x
    x = 189,046,924.15/6,362.61
  6. Step 6: Final answer
    x = 29,712.15

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