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Finding the Third Proportional to 21,832 and 46,778

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Solution

The third proportional to 21,832 and 46,778 is: 100,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832 : 46,778 = 46,778 : x
  2. Step 2: Convert to fraction form
    21,832/46,778 = 46,778/x
  3. Step 3: Cross multiply
    21,832x = 46,778 × 46,778
  4. Step 4: Simplify right side
    21,832x = 2,188,181,284
  5. Step 5: Solve for x
    x = 2,188,181,284/21,832
  6. Step 6: Final answer
    x = 100,228.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.