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Finding the Third Proportional to 1,698.50 and 3,506.13

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Solution

The third proportional to 1,698.50 and 3,506.13 is: 7,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.50 : 3,506.13 = 3,506.13 : x
  2. Step 2: Convert to fraction form
    1,698.50/3,506.13 = 3,506.13/x
  3. Step 3: Cross multiply
    1,698.50x = 3,506.13 × 3,506.13
  4. Step 4: Simplify right side
    1,698.50x = 12,292,912.52
  5. Step 5: Solve for x
    x = 12,292,912.52/1,698.50
  6. Step 6: Final answer
    x = 7,237.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.