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Finding the Third Proportional to 10,378 and 15,675

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Solution

The third proportional to 10,378 and 15,675 is: 23,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378 : 15,675 = 15,675 : x
  2. Step 2: Convert to fraction form
    10,378/15,675 = 15,675/x
  3. Step 3: Cross multiply
    10,378x = 15,675 × 15,675
  4. Step 4: Simplify right side
    10,378x = 245,705,625
  5. Step 5: Solve for x
    x = 245,705,625/10,378
  6. Step 6: Final answer
    x = 23,675.62

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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.