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Finding the Third Proportional to 1,541 and 2,089

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Solution

The third proportional to 1,541 and 2,089 is: 2,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541 : 2,089 = 2,089 : x
  2. Step 2: Convert to fraction form
    1,541/2,089 = 2,089/x
  3. Step 3: Cross multiply
    1,541x = 2,089 × 2,089
  4. Step 4: Simplify right side
    1,541x = 4,363,921
  5. Step 5: Solve for x
    x = 4,363,921/1,541
  6. Step 6: Final answer
    x = 2,831.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.