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Finding the Third Proportional to 14,212.13 and 33,215.06

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Solution

The third proportional to 14,212.13 and 33,215.06 is: 77,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.13 : 33,215.06 = 33,215.06 : x
  2. Step 2: Convert to fraction form
    14,212.13/33,215.06 = 33,215.06/x
  3. Step 3: Cross multiply
    14,212.13x = 33,215.06 × 33,215.06
  4. Step 4: Simplify right side
    14,212.13x = 1,103,240,376.88
  5. Step 5: Solve for x
    x = 1,103,240,376.88/14,212.13
  6. Step 6: Final answer
    x = 77,626.70

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.