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Finding the Third Proportional to 24,286 and 51,380

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Solution

The third proportional to 24,286 and 51,380 is: 108,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286 : 51,380 = 51,380 : x
  2. Step 2: Convert to fraction form
    24,286/51,380 = 51,380/x
  3. Step 3: Cross multiply
    24,286x = 51,380 × 51,380
  4. Step 4: Simplify right side
    24,286x = 2,639,904,400
  5. Step 5: Solve for x
    x = 2,639,904,400/24,286
  6. Step 6: Final answer
    x = 108,700.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.