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Finding the Third Proportional to 22,478 and 46,684

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Solution

The third proportional to 22,478 and 46,684 is: 96,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478 : 46,684 = 46,684 : x
  2. Step 2: Convert to fraction form
    22,478/46,684 = 46,684/x
  3. Step 3: Cross multiply
    22,478x = 46,684 × 46,684
  4. Step 4: Simplify right side
    22,478x = 2,179,395,856
  5. Step 5: Solve for x
    x = 2,179,395,856/22,478
  6. Step 6: Final answer
    x = 96,956.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.