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Finding the Third Proportional to 21,848 and 32,883

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Solution

The third proportional to 21,848 and 32,883 is: 49,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,848 : 32,883 = 32,883 : x
  2. Step 2: Convert to fraction form
    21,848/32,883 = 32,883/x
  3. Step 3: Cross multiply
    21,848x = 32,883 × 32,883
  4. Step 4: Simplify right side
    21,848x = 1,081,291,689
  5. Step 5: Solve for x
    x = 1,081,291,689/21,848
  6. Step 6: Final answer
    x = 49,491.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.