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Finding the Third Proportional to 10,144 and 15,412

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Solution

The third proportional to 10,144 and 15,412 is: 23,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144 : 15,412 = 15,412 : x
  2. Step 2: Convert to fraction form
    10,144/15,412 = 15,412/x
  3. Step 3: Cross multiply
    10,144x = 15,412 × 15,412
  4. Step 4: Simplify right side
    10,144x = 237,529,744
  5. Step 5: Solve for x
    x = 237,529,744/10,144
  6. Step 6: Final answer
    x = 23,415.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.