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Finding the Third Proportional to 17,919 and 38,905.50

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Solution

The third proportional to 17,919 and 38,905.50 is: 84,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919 : 38,905.50 = 38,905.50 : x
  2. Step 2: Convert to fraction form
    17,919/38,905.50 = 38,905.50/x
  3. Step 3: Cross multiply
    17,919x = 38,905.50 × 38,905.50
  4. Step 4: Simplify right side
    17,919x = 1,513,637,930.25
  5. Step 5: Solve for x
    x = 1,513,637,930.25/17,919
  6. Step 6: Final answer
    x = 84,471.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.