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Finding the Third Proportional to 6,323 and 9,516

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Solution

The third proportional to 6,323 and 9,516 is: 14,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323 : 9,516 = 9,516 : x
  2. Step 2: Convert to fraction form
    6,323/9,516 = 9,516/x
  3. Step 3: Cross multiply
    6,323x = 9,516 × 9,516
  4. Step 4: Simplify right side
    6,323x = 90,554,256
  5. Step 5: Solve for x
    x = 90,554,256/6,323
  6. Step 6: Final answer
    x = 14,321.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.