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Finding the Third Proportional to 19,054 and 40,856

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Solution

The third proportional to 19,054 and 40,856 is: 87,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,054 : 40,856 = 40,856 : x
  2. Step 2: Convert to fraction form
    19,054/40,856 = 40,856/x
  3. Step 3: Cross multiply
    19,054x = 40,856 × 40,856
  4. Step 4: Simplify right side
    19,054x = 1,669,212,736
  5. Step 5: Solve for x
    x = 1,669,212,736/19,054
  6. Step 6: Final answer
    x = 87,604.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.