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Finding the Third Proportional to 4,767 and 7,419.75

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Solution

The third proportional to 4,767 and 7,419.75 is: 11,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767 : 7,419.75 = 7,419.75 : x
  2. Step 2: Convert to fraction form
    4,767/7,419.75 = 7,419.75/x
  3. Step 3: Cross multiply
    4,767x = 7,419.75 × 7,419.75
  4. Step 4: Simplify right side
    4,767x = 55,052,690.06
  5. Step 5: Solve for x
    x = 55,052,690.06/4,767
  6. Step 6: Final answer
    x = 11,548.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.