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Finding the Third Proportional to 19,583 and 38,179

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Solution

The third proportional to 19,583 and 38,179 is: 74,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583 : 38,179 = 38,179 : x
  2. Step 2: Convert to fraction form
    19,583/38,179 = 38,179/x
  3. Step 3: Cross multiply
    19,583x = 38,179 × 38,179
  4. Step 4: Simplify right side
    19,583x = 1,457,636,041
  5. Step 5: Solve for x
    x = 1,457,636,041/19,583
  6. Step 6: Final answer
    x = 74,433.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.