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Finding the Third Proportional to 4,213.13 and 5,059.69

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Solution

The third proportional to 4,213.13 and 5,059.69 is: 6,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.13 : 5,059.69 = 5,059.69 : x
  2. Step 2: Convert to fraction form
    4,213.13/5,059.69 = 5,059.69/x
  3. Step 3: Cross multiply
    4,213.13x = 5,059.69 × 5,059.69
  4. Step 4: Simplify right side
    4,213.13x = 25,600,437.60
  5. Step 5: Solve for x
    x = 25,600,437.60/4,213.13
  6. Step 6: Final answer
    x = 6,076.35

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.