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Finding the Third Proportional to 30,019.50 and 38,953.50

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Solution

The third proportional to 30,019.50 and 38,953.50 is: 50,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,019.50 : 38,953.50 = 38,953.50 : x
  2. Step 2: Convert to fraction form
    30,019.50/38,953.50 = 38,953.50/x
  3. Step 3: Cross multiply
    30,019.50x = 38,953.50 × 38,953.50
  4. Step 4: Simplify right side
    30,019.50x = 1,517,375,162.25
  5. Step 5: Solve for x
    x = 1,517,375,162.25/30,019.50
  6. Step 6: Final answer
    x = 50,546.32

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.