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Finding the Third Proportional to 23,874.75 and 39,138.19

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Solution

The third proportional to 23,874.75 and 39,138.19 is: 64,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.75 : 39,138.19 = 39,138.19 : x
  2. Step 2: Convert to fraction form
    23,874.75/39,138.19 = 39,138.19/x
  3. Step 3: Cross multiply
    23,874.75x = 39,138.19 × 39,138.19
  4. Step 4: Simplify right side
    23,874.75x = 1,531,797,720.79
  5. Step 5: Solve for x
    x = 1,531,797,720.79/23,874.75
  6. Step 6: Final answer
    x = 64,159.74

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.