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Finding the Third Proportional to 14,997.56 and 32,819.91

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Solution

The third proportional to 14,997.56 and 32,819.91 is: 71,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.56 : 32,819.91 = 32,819.91 : x
  2. Step 2: Convert to fraction form
    14,997.56/32,819.91 = 32,819.91/x
  3. Step 3: Cross multiply
    14,997.56x = 32,819.91 × 32,819.91
  4. Step 4: Simplify right side
    14,997.56x = 1,077,146,246.26
  5. Step 5: Solve for x
    x = 1,077,146,246.26/14,997.56
  6. Step 6: Final answer
    x = 71,821.42

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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.