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Finding the Third Proportional to 7,840.55 and 16,224.05

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Solution

The third proportional to 7,840.55 and 16,224.05 is: 33,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.55 : 16,224.05 = 16,224.05 : x
  2. Step 2: Convert to fraction form
    7,840.55/16,224.05 = 16,224.05/x
  3. Step 3: Cross multiply
    7,840.55x = 16,224.05 × 16,224.05
  4. Step 4: Simplify right side
    7,840.55x = 263,219,697.00
  5. Step 5: Solve for x
    x = 263,219,697.00/7,840.55
  6. Step 6: Final answer
    x = 33,571.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.