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Finding the Third Proportional to 3,531.09 and 7,673.48

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Solution

The third proportional to 3,531.09 and 7,673.48 is: 16,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.09 : 7,673.48 = 7,673.48 : x
  2. Step 2: Convert to fraction form
    3,531.09/7,673.48 = 7,673.48/x
  3. Step 3: Cross multiply
    3,531.09x = 7,673.48 × 7,673.48
  4. Step 4: Simplify right side
    3,531.09x = 58,882,362.45
  5. Step 5: Solve for x
    x = 58,882,362.45/3,531.09
  6. Step 6: Final answer
    x = 16,675.39

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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.