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Finding the Third Proportional to 28,039.50 and 30,408.75

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Solution

The third proportional to 28,039.50 and 30,408.75 is: 32,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,039.50 : 30,408.75 = 30,408.75 : x
  2. Step 2: Convert to fraction form
    28,039.50/30,408.75 = 30,408.75/x
  3. Step 3: Cross multiply
    28,039.50x = 30,408.75 × 30,408.75
  4. Step 4: Simplify right side
    28,039.50x = 924,692,076.56
  5. Step 5: Solve for x
    x = 924,692,076.56/28,039.50
  6. Step 6: Final answer
    x = 32,978.19

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.