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Finding the Third Proportional to 19,993.50 and 28,424.25

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Solution

The third proportional to 19,993.50 and 28,424.25 is: 40,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.50 : 28,424.25 = 28,424.25 : x
  2. Step 2: Convert to fraction form
    19,993.50/28,424.25 = 28,424.25/x
  3. Step 3: Cross multiply
    19,993.50x = 28,424.25 × 28,424.25
  4. Step 4: Simplify right side
    19,993.50x = 807,937,988.06
  5. Step 5: Solve for x
    x = 807,937,988.06/19,993.50
  6. Step 6: Final answer
    x = 40,410.03

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.