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Finding the Third Proportional to 3,272.91 and 7,068.94

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Solution

The third proportional to 3,272.91 and 7,068.94 is: 15,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.91 : 7,068.94 = 7,068.94 : x
  2. Step 2: Convert to fraction form
    3,272.91/7,068.94 = 7,068.94/x
  3. Step 3: Cross multiply
    3,272.91x = 7,068.94 × 7,068.94
  4. Step 4: Simplify right side
    3,272.91x = 49,969,877.38
  5. Step 5: Solve for x
    x = 49,969,877.38/3,272.91
  6. Step 6: Final answer
    x = 15,267.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.