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Finding the Third Proportional to 6,323 and 12,475

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Solution

The third proportional to 6,323 and 12,475 is: 24,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323 : 12,475 = 12,475 : x
  2. Step 2: Convert to fraction form
    6,323/12,475 = 12,475/x
  3. Step 3: Cross multiply
    6,323x = 12,475 × 12,475
  4. Step 4: Simplify right side
    6,323x = 155,625,625
  5. Step 5: Solve for x
    x = 155,625,625/6,323
  6. Step 6: Final answer
    x = 24,612.62

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.