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Finding the Third Proportional to 7,396.31 and 16,224.05

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Solution

The third proportional to 7,396.31 and 16,224.05 is: 35,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.31 : 16,224.05 = 16,224.05 : x
  2. Step 2: Convert to fraction form
    7,396.31/16,224.05 = 16,224.05/x
  3. Step 3: Cross multiply
    7,396.31x = 16,224.05 × 16,224.05
  4. Step 4: Simplify right side
    7,396.31x = 263,219,697.00
  5. Step 5: Solve for x
    x = 263,219,697.00/7,396.31
  6. Step 6: Final answer
    x = 35,587.96

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Why These Related Problems?

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