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Finding the Third Proportional to 9,078.75 and 12,200.63

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Solution

The third proportional to 9,078.75 and 12,200.63 is: 16,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.75 : 12,200.63 = 12,200.63 : x
  2. Step 2: Convert to fraction form
    9,078.75/12,200.63 = 12,200.63/x
  3. Step 3: Cross multiply
    9,078.75x = 12,200.63 × 12,200.63
  4. Step 4: Simplify right side
    9,078.75x = 148,855,250.39
  5. Step 5: Solve for x
    x = 148,855,250.39/9,078.75
  6. Step 6: Final answer
    x = 16,396.01

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.