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Finding the Third Proportional to 4,089 and 5,484

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Solution

The third proportional to 4,089 and 5,484 is: 7,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089 : 5,484 = 5,484 : x
  2. Step 2: Convert to fraction form
    4,089/5,484 = 5,484/x
  3. Step 3: Cross multiply
    4,089x = 5,484 × 5,484
  4. Step 4: Simplify right side
    4,089x = 30,074,256
  5. Step 5: Solve for x
    x = 30,074,256/4,089
  6. Step 6: Final answer
    x = 7,354.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.