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Finding the Third Proportional to 5,392 and 5,860

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Solution

The third proportional to 5,392 and 5,860 is: 6,368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392 : 5,860 = 5,860 : x
  2. Step 2: Convert to fraction form
    5,392/5,860 = 5,860/x
  3. Step 3: Cross multiply
    5,392x = 5,860 × 5,860
  4. Step 4: Simplify right side
    5,392x = 34,339,600
  5. Step 5: Solve for x
    x = 34,339,600/5,392
  6. Step 6: Final answer
    x = 6,368.62

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.