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Finding the Third Proportional to 10,340 and 14,390

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Solution

The third proportional to 10,340 and 14,390 is: 20,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340 : 14,390 = 14,390 : x
  2. Step 2: Convert to fraction form
    10,340/14,390 = 14,390/x
  3. Step 3: Cross multiply
    10,340x = 14,390 × 14,390
  4. Step 4: Simplify right side
    10,340x = 207,072,100
  5. Step 5: Solve for x
    x = 207,072,100/10,340
  6. Step 6: Final answer
    x = 20,026.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.