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Finding the Third Proportional to 1,699 and 4,083

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Solution

The third proportional to 1,699 and 4,083 is: 9,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699 : 4,083 = 4,083 : x
  2. Step 2: Convert to fraction form
    1,699/4,083 = 4,083/x
  3. Step 3: Cross multiply
    1,699x = 4,083 × 4,083
  4. Step 4: Simplify right side
    1,699x = 16,670,889
  5. Step 5: Solve for x
    x = 16,670,889/1,699
  6. Step 6: Final answer
    x = 9,812.18

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.