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Finding the Third Proportional to 19,394 and 40,226

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Solution

The third proportional to 19,394 and 40,226 is: 83,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,394 : 40,226 = 40,226 : x
  2. Step 2: Convert to fraction form
    19,394/40,226 = 40,226/x
  3. Step 3: Cross multiply
    19,394x = 40,226 × 40,226
  4. Step 4: Simplify right side
    19,394x = 1,618,131,076
  5. Step 5: Solve for x
    x = 1,618,131,076/19,394
  6. Step 6: Final answer
    x = 83,434.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.