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Finding the Third Proportional to 6,205.64 and 13,299.75

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Solution

The third proportional to 6,205.64 and 13,299.75 is: 28,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.64 : 13,299.75 = 13,299.75 : x
  2. Step 2: Convert to fraction form
    6,205.64/13,299.75 = 13,299.75/x
  3. Step 3: Cross multiply
    6,205.64x = 13,299.75 × 13,299.75
  4. Step 4: Simplify right side
    6,205.64x = 176,883,350.06
  5. Step 5: Solve for x
    x = 176,883,350.06/6,205.64
  6. Step 6: Final answer
    x = 28,503.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.