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Finding the Third Proportional to 7,725.38 and 16,802.44

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Solution

The third proportional to 7,725.38 and 16,802.44 is: 36,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.38 : 16,802.44 = 16,802.44 : x
  2. Step 2: Convert to fraction form
    7,725.38/16,802.44 = 16,802.44/x
  3. Step 3: Cross multiply
    7,725.38x = 16,802.44 × 16,802.44
  4. Step 4: Simplify right side
    7,725.38x = 282,321,905.94
  5. Step 5: Solve for x
    x = 282,321,905.94/7,725.38
  6. Step 6: Final answer
    x = 36,544.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.