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Finding the Third Proportional to 4,592 and 6,389

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Solution

The third proportional to 4,592 and 6,389 is: 8,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592 : 6,389 = 6,389 : x
  2. Step 2: Convert to fraction form
    4,592/6,389 = 6,389/x
  3. Step 3: Cross multiply
    4,592x = 6,389 × 6,389
  4. Step 4: Simplify right side
    4,592x = 40,819,321
  5. Step 5: Solve for x
    x = 40,819,321/4,592
  6. Step 6: Final answer
    x = 8,889.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.