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Finding the Third Proportional to 19,552.50 and 21,550.50

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Solution

The third proportional to 19,552.50 and 21,550.50 is: 23,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,552.50 : 21,550.50 = 21,550.50 : x
  2. Step 2: Convert to fraction form
    19,552.50/21,550.50 = 21,550.50/x
  3. Step 3: Cross multiply
    19,552.50x = 21,550.50 × 21,550.50
  4. Step 4: Simplify right side
    19,552.50x = 464,424,050.25
  5. Step 5: Solve for x
    x = 464,424,050.25/19,552.50
  6. Step 6: Final answer
    x = 23,752.67

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.