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Finding the Third Proportional to 3,558.94 and 6,685.03

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Solution

The third proportional to 3,558.94 and 6,685.03 is: 12,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.94 : 6,685.03 = 6,685.03 : x
  2. Step 2: Convert to fraction form
    3,558.94/6,685.03 = 6,685.03/x
  3. Step 3: Cross multiply
    3,558.94x = 6,685.03 × 6,685.03
  4. Step 4: Simplify right side
    3,558.94x = 44,689,642.81
  5. Step 5: Solve for x
    x = 44,689,642.81/3,558.94
  6. Step 6: Final answer
    x = 12,557.02

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.