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Finding the Third Proportional to 19,518 and 42,834

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Solution

The third proportional to 19,518 and 42,834 is: 94,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,518 : 42,834 = 42,834 : x
  2. Step 2: Convert to fraction form
    19,518/42,834 = 42,834/x
  3. Step 3: Cross multiply
    19,518x = 42,834 × 42,834
  4. Step 4: Simplify right side
    19,518x = 1,834,751,556
  5. Step 5: Solve for x
    x = 1,834,751,556/19,518
  6. Step 6: Final answer
    x = 94,003.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.