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Finding the Third Proportional to 21,937 and 32,086

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Solution

The third proportional to 21,937 and 32,086 is: 46,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,937 : 32,086 = 32,086 : x
  2. Step 2: Convert to fraction form
    21,937/32,086 = 32,086/x
  3. Step 3: Cross multiply
    21,937x = 32,086 × 32,086
  4. Step 4: Simplify right side
    21,937x = 1,029,511,396
  5. Step 5: Solve for x
    x = 1,029,511,396/21,937
  6. Step 6: Final answer
    x = 46,930.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.