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Finding the Third Proportional to 13,918 and 30,945.50

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Solution

The third proportional to 13,918 and 30,945.50 is: 68,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,918 : 30,945.50 = 30,945.50 : x
  2. Step 2: Convert to fraction form
    13,918/30,945.50 = 30,945.50/x
  3. Step 3: Cross multiply
    13,918x = 30,945.50 × 30,945.50
  4. Step 4: Simplify right side
    13,918x = 957,623,970.25
  5. Step 5: Solve for x
    x = 957,623,970.25/13,918
  6. Step 6: Final answer
    x = 68,804.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.