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Finding the Third Proportional to 1,998 and 5,409

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Solution

The third proportional to 1,998 and 5,409 is: 14,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998 : 5,409 = 5,409 : x
  2. Step 2: Convert to fraction form
    1,998/5,409 = 5,409/x
  3. Step 3: Cross multiply
    1,998x = 5,409 × 5,409
  4. Step 4: Simplify right side
    1,998x = 29,257,281
  5. Step 5: Solve for x
    x = 29,257,281/1,998
  6. Step 6: Final answer
    x = 14,643.28

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.