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Finding the Third Proportional to 6,027.94 and 9,215.63

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Solution

The third proportional to 6,027.94 and 9,215.63 is: 14,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.94 : 9,215.63 = 9,215.63 : x
  2. Step 2: Convert to fraction form
    6,027.94/9,215.63 = 9,215.63/x
  3. Step 3: Cross multiply
    6,027.94x = 9,215.63 × 9,215.63
  4. Step 4: Simplify right side
    6,027.94x = 84,927,744.14
  5. Step 5: Solve for x
    x = 84,927,744.14/6,027.94
  6. Step 6: Final answer
    x = 14,089.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.