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Finding the Third Proportional to 2,706.54 and 4,041.77

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Solution

The third proportional to 2,706.54 and 4,041.77 is: 6,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.54 : 4,041.77 = 4,041.77 : x
  2. Step 2: Convert to fraction form
    2,706.54/4,041.77 = 4,041.77/x
  3. Step 3: Cross multiply
    2,706.54x = 4,041.77 × 4,041.77
  4. Step 4: Simplify right side
    2,706.54x = 16,335,932.52
  5. Step 5: Solve for x
    x = 16,335,932.52/2,706.54
  6. Step 6: Final answer
    x = 6,035.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.