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Finding the Third Proportional to 5,038 and 6,855

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Solution

The third proportional to 5,038 and 6,855 is: 9,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038 : 6,855 = 6,855 : x
  2. Step 2: Convert to fraction form
    5,038/6,855 = 6,855/x
  3. Step 3: Cross multiply
    5,038x = 6,855 × 6,855
  4. Step 4: Simplify right side
    5,038x = 46,991,025
  5. Step 5: Solve for x
    x = 46,991,025/5,038
  6. Step 6: Final answer
    x = 9,327.32

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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.