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Finding the Third Proportional to 1,098 and 1,723

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Solution

The third proportional to 1,098 and 1,723 is: 2,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098 : 1,723 = 1,723 : x
  2. Step 2: Convert to fraction form
    1,098/1,723 = 1,723/x
  3. Step 3: Cross multiply
    1,098x = 1,723 × 1,723
  4. Step 4: Simplify right side
    1,098x = 2,968,729
  5. Step 5: Solve for x
    x = 2,968,729/1,098
  6. Step 6: Final answer
    x = 2,703.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.