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Finding the Third Proportional to 24,785 and 39,907

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Solution

The third proportional to 24,785 and 39,907 is: 64,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,785 : 39,907 = 39,907 : x
  2. Step 2: Convert to fraction form
    24,785/39,907 = 39,907/x
  3. Step 3: Cross multiply
    24,785x = 39,907 × 39,907
  4. Step 4: Simplify right side
    24,785x = 1,592,568,649
  5. Step 5: Solve for x
    x = 1,592,568,649/24,785
  6. Step 6: Final answer
    x = 64,255.34

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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.