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Finding the Third Proportional to 3,299.63 and 4,824.56

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Solution

The third proportional to 3,299.63 and 4,824.56 is: 7,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.63 : 4,824.56 = 4,824.56 : x
  2. Step 2: Convert to fraction form
    3,299.63/4,824.56 = 4,824.56/x
  3. Step 3: Cross multiply
    3,299.63x = 4,824.56 × 4,824.56
  4. Step 4: Simplify right side
    3,299.63x = 23,276,403.32
  5. Step 5: Solve for x
    x = 23,276,403.32/3,299.63
  6. Step 6: Final answer
    x = 7,054.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.