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Finding the Third Proportional to 7,808.06 and 17,072.44

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Solution

The third proportional to 7,808.06 and 17,072.44 is: 37,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.06 : 17,072.44 = 17,072.44 : x
  2. Step 2: Convert to fraction form
    7,808.06/17,072.44 = 17,072.44/x
  3. Step 3: Cross multiply
    7,808.06x = 17,072.44 × 17,072.44
  4. Step 4: Simplify right side
    7,808.06x = 291,468,122.19
  5. Step 5: Solve for x
    x = 291,468,122.19/7,808.06
  6. Step 6: Final answer
    x = 37,329.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.