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Finding the Third Proportional to 16,674 and 25,190

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Solution

The third proportional to 16,674 and 25,190 is: 38,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,674 : 25,190 = 25,190 : x
  2. Step 2: Convert to fraction form
    16,674/25,190 = 25,190/x
  3. Step 3: Cross multiply
    16,674x = 25,190 × 25,190
  4. Step 4: Simplify right side
    16,674x = 634,536,100
  5. Step 5: Solve for x
    x = 634,536,100/16,674
  6. Step 6: Final answer
    x = 38,055.42

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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.