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Finding the Third Proportional to 5,737.08 and 12,055.08

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Solution

The third proportional to 5,737.08 and 12,055.08 is: 25,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.08 : 12,055.08 = 12,055.08 : x
  2. Step 2: Convert to fraction form
    5,737.08/12,055.08 = 12,055.08/x
  3. Step 3: Cross multiply
    5,737.08x = 12,055.08 × 12,055.08
  4. Step 4: Simplify right side
    5,737.08x = 145,324,908.60
  5. Step 5: Solve for x
    x = 145,324,908.60/5,737.08
  6. Step 6: Final answer
    x = 25,330.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.