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Finding the Third Proportional to 9,499.78 and 13,900.36

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Solution

The third proportional to 9,499.78 and 13,900.36 is: 20,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.78 : 13,900.36 = 13,900.36 : x
  2. Step 2: Convert to fraction form
    9,499.78/13,900.36 = 13,900.36/x
  3. Step 3: Cross multiply
    9,499.78x = 13,900.36 × 13,900.36
  4. Step 4: Simplify right side
    9,499.78x = 193,219,990.75
  5. Step 5: Solve for x
    x = 193,219,990.75/9,499.78
  6. Step 6: Final answer
    x = 20,339.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.