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Finding the Third Proportional to 6,339.95 and 13,634.58

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Solution

The third proportional to 6,339.95 and 13,634.58 is: 29,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.95 : 13,634.58 = 13,634.58 : x
  2. Step 2: Convert to fraction form
    6,339.95/13,634.58 = 13,634.58/x
  3. Step 3: Cross multiply
    6,339.95x = 13,634.58 × 13,634.58
  4. Step 4: Simplify right side
    6,339.95x = 185,901,720.65
  5. Step 5: Solve for x
    x = 185,901,720.65/6,339.95
  6. Step 6: Final answer
    x = 29,322.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.