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Finding the Third Proportional to 19,084 and 38,706

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Solution

The third proportional to 19,084 and 38,706 is: 78,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,084 : 38,706 = 38,706 : x
  2. Step 2: Convert to fraction form
    19,084/38,706 = 38,706/x
  3. Step 3: Cross multiply
    19,084x = 38,706 × 38,706
  4. Step 4: Simplify right side
    19,084x = 1,498,154,436
  5. Step 5: Solve for x
    x = 1,498,154,436/19,084
  6. Step 6: Final answer
    x = 78,503.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.