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Finding the Third Proportional to 7,745.63 and 12,080.81

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Solution

The third proportional to 7,745.63 and 12,080.81 is: 18,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.63 : 12,080.81 = 12,080.81 : x
  2. Step 2: Convert to fraction form
    7,745.63/12,080.81 = 12,080.81/x
  3. Step 3: Cross multiply
    7,745.63x = 12,080.81 × 12,080.81
  4. Step 4: Simplify right side
    7,745.63x = 145,946,030.66
  5. Step 5: Solve for x
    x = 145,946,030.66/7,745.63
  6. Step 6: Final answer
    x = 18,842.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.