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Finding the Third Proportional to 19,309.50 and 28,084.50

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Solution

The third proportional to 19,309.50 and 28,084.50 is: 40,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309.50 : 28,084.50 = 28,084.50 : x
  2. Step 2: Convert to fraction form
    19,309.50/28,084.50 = 28,084.50/x
  3. Step 3: Cross multiply
    19,309.50x = 28,084.50 × 28,084.50
  4. Step 4: Simplify right side
    19,309.50x = 788,739,140.25
  5. Step 5: Solve for x
    x = 788,739,140.25/19,309.50
  6. Step 6: Final answer
    x = 40,847.21

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.