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Finding the Third Proportional to 6,625.55 and 13,558.64

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Solution

The third proportional to 6,625.55 and 13,558.64 is: 27,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.55 : 13,558.64 = 13,558.64 : x
  2. Step 2: Convert to fraction form
    6,625.55/13,558.64 = 13,558.64/x
  3. Step 3: Cross multiply
    6,625.55x = 13,558.64 × 13,558.64
  4. Step 4: Simplify right side
    6,625.55x = 183,836,735.60
  5. Step 5: Solve for x
    x = 183,836,735.60/6,625.55
  6. Step 6: Final answer
    x = 27,746.65

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.