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Finding the Third Proportional to 10,322 and 14,508

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Solution

The third proportional to 10,322 and 14,508 is: 20,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322 : 14,508 = 14,508 : x
  2. Step 2: Convert to fraction form
    10,322/14,508 = 14,508/x
  3. Step 3: Cross multiply
    10,322x = 14,508 × 14,508
  4. Step 4: Simplify right side
    10,322x = 210,482,064
  5. Step 5: Solve for x
    x = 210,482,064/10,322
  6. Step 6: Final answer
    x = 20,391.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.