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Finding the Third Proportional to 7,852 and 18,958

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Solution

The third proportional to 7,852 and 18,958 is: 45,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852 : 18,958 = 18,958 : x
  2. Step 2: Convert to fraction form
    7,852/18,958 = 18,958/x
  3. Step 3: Cross multiply
    7,852x = 18,958 × 18,958
  4. Step 4: Simplify right side
    7,852x = 359,405,764
  5. Step 5: Solve for x
    x = 359,405,764/7,852
  6. Step 6: Final answer
    x = 45,772.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.