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Finding the Third Proportional to 21,848 and 46,279

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Solution

The third proportional to 21,848 and 46,279 is: 98,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,848 : 46,279 = 46,279 : x
  2. Step 2: Convert to fraction form
    21,848/46,279 = 46,279/x
  3. Step 3: Cross multiply
    21,848x = 46,279 × 46,279
  4. Step 4: Simplify right side
    21,848x = 2,141,745,841
  5. Step 5: Solve for x
    x = 2,141,745,841/21,848
  6. Step 6: Final answer
    x = 98,029.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.