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Finding the Third Proportional to 19,265 and 40,042

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Solution

The third proportional to 19,265 and 40,042 is: 83,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,265 : 40,042 = 40,042 : x
  2. Step 2: Convert to fraction form
    19,265/40,042 = 40,042/x
  3. Step 3: Cross multiply
    19,265x = 40,042 × 40,042
  4. Step 4: Simplify right side
    19,265x = 1,603,361,764
  5. Step 5: Solve for x
    x = 1,603,361,764/19,265
  6. Step 6: Final answer
    x = 83,226.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.