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Finding the Third Proportional to 6,630 and 13,435.50

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Solution

The third proportional to 6,630 and 13,435.50 is: 27,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630 : 13,435.50 = 13,435.50 : x
  2. Step 2: Convert to fraction form
    6,630/13,435.50 = 13,435.50/x
  3. Step 3: Cross multiply
    6,630x = 13,435.50 × 13,435.50
  4. Step 4: Simplify right side
    6,630x = 180,512,660.25
  5. Step 5: Solve for x
    x = 180,512,660.25/6,630
  6. Step 6: Final answer
    x = 27,226.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.