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Finding the Third Proportional to 1,716.75 and 3,436.03

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Solution

The third proportional to 1,716.75 and 3,436.03 is: 6,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.75 : 3,436.03 = 3,436.03 : x
  2. Step 2: Convert to fraction form
    1,716.75/3,436.03 = 3,436.03/x
  3. Step 3: Cross multiply
    1,716.75x = 3,436.03 × 3,436.03
  4. Step 4: Simplify right side
    1,716.75x = 11,806,310.75
  5. Step 5: Solve for x
    x = 11,806,310.75/1,716.75
  6. Step 6: Final answer
    x = 6,877.13

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.