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Finding the Third Proportional to 1,716.94 and 2,608.31

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Solution

The third proportional to 1,716.94 and 2,608.31 is: 3,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.94 : 2,608.31 = 2,608.31 : x
  2. Step 2: Convert to fraction form
    1,716.94/2,608.31 = 2,608.31/x
  3. Step 3: Cross multiply
    1,716.94x = 2,608.31 × 2,608.31
  4. Step 4: Simplify right side
    1,716.94x = 6,803,294.10
  5. Step 5: Solve for x
    x = 6,803,294.10/1,716.94
  6. Step 6: Final answer
    x = 3,962.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.