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Finding the Third Proportional to 15,674 and 25,199

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Solution

The third proportional to 15,674 and 25,199 is: 40,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674 : 25,199 = 25,199 : x
  2. Step 2: Convert to fraction form
    15,674/25,199 = 25,199/x
  3. Step 3: Cross multiply
    15,674x = 25,199 × 25,199
  4. Step 4: Simplify right side
    15,674x = 634,989,601
  5. Step 5: Solve for x
    x = 634,989,601/15,674
  6. Step 6: Final answer
    x = 40,512.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.