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Finding the Third Proportional to 5,289 and 6,045

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Solution

The third proportional to 5,289 and 6,045 is: 6,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289 : 6,045 = 6,045 : x
  2. Step 2: Convert to fraction form
    5,289/6,045 = 6,045/x
  3. Step 3: Cross multiply
    5,289x = 6,045 × 6,045
  4. Step 4: Simplify right side
    5,289x = 36,542,025
  5. Step 5: Solve for x
    x = 36,542,025/5,289
  6. Step 6: Final answer
    x = 6,909.06

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.