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Finding the Third Proportional to 1,698.75 and 2,711.63

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Solution

The third proportional to 1,698.75 and 2,711.63 is: 4,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.75 : 2,711.63 = 2,711.63 : x
  2. Step 2: Convert to fraction form
    1,698.75/2,711.63 = 2,711.63/x
  3. Step 3: Cross multiply
    1,698.75x = 2,711.63 × 2,711.63
  4. Step 4: Simplify right side
    1,698.75x = 7,352,910.14
  5. Step 5: Solve for x
    x = 7,352,910.14/1,698.75
  6. Step 6: Final answer
    x = 4,328.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.