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Finding the Third Proportional to 6,234 and 10,389

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Solution

The third proportional to 6,234 and 10,389 is: 17,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234 : 10,389 = 10,389 : x
  2. Step 2: Convert to fraction form
    6,234/10,389 = 10,389/x
  3. Step 3: Cross multiply
    6,234x = 10,389 × 10,389
  4. Step 4: Simplify right side
    6,234x = 107,931,321
  5. Step 5: Solve for x
    x = 107,931,321/6,234
  6. Step 6: Final answer
    x = 17,313.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.