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Finding the Third Proportional to 16,674 and 25,071.75

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Solution

The third proportional to 16,674 and 25,071.75 is: 37,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,674 : 25,071.75 = 25,071.75 : x
  2. Step 2: Convert to fraction form
    16,674/25,071.75 = 25,071.75/x
  3. Step 3: Cross multiply
    16,674x = 25,071.75 × 25,071.75
  4. Step 4: Simplify right side
    16,674x = 628,592,648.06
  5. Step 5: Solve for x
    x = 628,592,648.06/16,674
  6. Step 6: Final answer
    x = 37,698.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.