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Finding the Third Proportional to 11,929.50 and 18,949.50

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Solution

The third proportional to 11,929.50 and 18,949.50 is: 30,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.50 : 18,949.50 = 18,949.50 : x
  2. Step 2: Convert to fraction form
    11,929.50/18,949.50 = 18,949.50/x
  3. Step 3: Cross multiply
    11,929.50x = 18,949.50 × 18,949.50
  4. Step 4: Simplify right side
    11,929.50x = 359,083,550.25
  5. Step 5: Solve for x
    x = 359,083,550.25/11,929.50
  6. Step 6: Final answer
    x = 30,100.47

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.