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Finding the Third Proportional to 21,214 and 32,379

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Solution

The third proportional to 21,214 and 32,379 is: 49,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214 : 32,379 = 32,379 : x
  2. Step 2: Convert to fraction form
    21,214/32,379 = 32,379/x
  3. Step 3: Cross multiply
    21,214x = 32,379 × 32,379
  4. Step 4: Simplify right side
    21,214x = 1,048,399,641
  5. Step 5: Solve for x
    x = 1,048,399,641/21,214
  6. Step 6: Final answer
    x = 49,420.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.