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Finding the Third Proportional to 6,339.94 and 13,528.69

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Solution

The third proportional to 6,339.94 and 13,528.69 is: 28,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.94 : 13,528.69 = 13,528.69 : x
  2. Step 2: Convert to fraction form
    6,339.94/13,528.69 = 13,528.69/x
  3. Step 3: Cross multiply
    6,339.94x = 13,528.69 × 13,528.69
  4. Step 4: Simplify right side
    6,339.94x = 183,025,385.47
  5. Step 5: Solve for x
    x = 183,025,385.47/6,339.94
  6. Step 6: Final answer
    x = 28,868.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.