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Finding the Third Proportional to 6,474 and 10,323

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Solution

The third proportional to 6,474 and 10,323 is: 16,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 10,323 = 10,323 : x
  2. Step 2: Convert to fraction form
    6,474/10,323 = 10,323/x
  3. Step 3: Cross multiply
    6,474x = 10,323 × 10,323
  4. Step 4: Simplify right side
    6,474x = 106,564,329
  5. Step 5: Solve for x
    x = 106,564,329/6,474
  6. Step 6: Final answer
    x = 16,460.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.