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Finding the Third Proportional to 9,278.50 and 19,013

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Solution

The third proportional to 9,278.50 and 19,013 is: 38,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.50 : 19,013 = 19,013 : x
  2. Step 2: Convert to fraction form
    9,278.50/19,013 = 19,013/x
  3. Step 3: Cross multiply
    9,278.50x = 19,013 × 19,013
  4. Step 4: Simplify right side
    9,278.50x = 361,494,169
  5. Step 5: Solve for x
    x = 361,494,169/9,278.50
  6. Step 6: Final answer
    x = 38,960.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.