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Finding the Third Proportional to 7,434 and 16,200.75

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Solution

The third proportional to 7,434 and 16,200.75 is: 35,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434 : 16,200.75 = 16,200.75 : x
  2. Step 2: Convert to fraction form
    7,434/16,200.75 = 16,200.75/x
  3. Step 3: Cross multiply
    7,434x = 16,200.75 × 16,200.75
  4. Step 4: Simplify right side
    7,434x = 262,464,300.56
  5. Step 5: Solve for x
    x = 262,464,300.56/7,434
  6. Step 6: Final answer
    x = 35,305.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.