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Finding the Third Proportional to 19,300.50 and 22,189.50

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Solution

The third proportional to 19,300.50 and 22,189.50 is: 25,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,300.50 : 22,189.50 = 22,189.50 : x
  2. Step 2: Convert to fraction form
    19,300.50/22,189.50 = 22,189.50/x
  3. Step 3: Cross multiply
    19,300.50x = 22,189.50 × 22,189.50
  4. Step 4: Simplify right side
    19,300.50x = 492,373,910.25
  5. Step 5: Solve for x
    x = 492,373,910.25/19,300.50
  6. Step 6: Final answer
    x = 25,510.94

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.