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Finding the Third Proportional to 6,358.82 and 8,628.40

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Solution

The third proportional to 6,358.82 and 8,628.40 is: 11,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.82 : 8,628.40 = 8,628.40 : x
  2. Step 2: Convert to fraction form
    6,358.82/8,628.40 = 8,628.40/x
  3. Step 3: Cross multiply
    6,358.82x = 8,628.40 × 8,628.40
  4. Step 4: Simplify right side
    6,358.82x = 74,449,259.60
  5. Step 5: Solve for x
    x = 74,449,259.60/6,358.82
  6. Step 6: Final answer
    x = 11,708.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.