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Finding the Third Proportional to 13,412 and 21,215

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Solution

The third proportional to 13,412 and 21,215 is: 33,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412 : 21,215 = 21,215 : x
  2. Step 2: Convert to fraction form
    13,412/21,215 = 21,215/x
  3. Step 3: Cross multiply
    13,412x = 21,215 × 21,215
  4. Step 4: Simplify right side
    13,412x = 450,076,225
  5. Step 5: Solve for x
    x = 450,076,225/13,412
  6. Step 6: Final answer
    x = 33,557.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.