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Finding the Third Proportional to 2,542 and 6,089

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Solution

The third proportional to 2,542 and 6,089 is: 14,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542 : 6,089 = 6,089 : x
  2. Step 2: Convert to fraction form
    2,542/6,089 = 6,089/x
  3. Step 3: Cross multiply
    2,542x = 6,089 × 6,089
  4. Step 4: Simplify right side
    2,542x = 37,075,921
  5. Step 5: Solve for x
    x = 37,075,921/2,542
  6. Step 6: Final answer
    x = 14,585.33

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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.