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Finding the Third Proportional to 19,467 and 42,351.19

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Solution

The third proportional to 19,467 and 42,351.19 is: 92,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,467 : 42,351.19 = 42,351.19 : x
  2. Step 2: Convert to fraction form
    19,467/42,351.19 = 42,351.19/x
  3. Step 3: Cross multiply
    19,467x = 42,351.19 × 42,351.19
  4. Step 4: Simplify right side
    19,467x = 1,793,623,082.66
  5. Step 5: Solve for x
    x = 1,793,623,082.66/19,467
  6. Step 6: Final answer
    x = 92,136.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.