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Finding the Third Proportional to 2,089 and 3,746

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Solution

The third proportional to 2,089 and 3,746 is: 6,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089 : 3,746 = 3,746 : x
  2. Step 2: Convert to fraction form
    2,089/3,746 = 3,746/x
  3. Step 3: Cross multiply
    2,089x = 3,746 × 3,746
  4. Step 4: Simplify right side
    2,089x = 14,032,516
  5. Step 5: Solve for x
    x = 14,032,516/2,089
  6. Step 6: Final answer
    x = 6,717.34

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.