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Finding the Third Proportional to 4,772 and 9,416

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Solution

The third proportional to 4,772 and 9,416 is: 18,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772 : 9,416 = 9,416 : x
  2. Step 2: Convert to fraction form
    4,772/9,416 = 9,416/x
  3. Step 3: Cross multiply
    4,772x = 9,416 × 9,416
  4. Step 4: Simplify right side
    4,772x = 88,661,056
  5. Step 5: Solve for x
    x = 88,661,056/4,772
  6. Step 6: Final answer
    x = 18,579.43

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.