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Finding the Third Proportional to 16,414 and 39,390

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Solution

The third proportional to 16,414 and 39,390 is: 94,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414 : 39,390 = 39,390 : x
  2. Step 2: Convert to fraction form
    16,414/39,390 = 39,390/x
  3. Step 3: Cross multiply
    16,414x = 39,390 × 39,390
  4. Step 4: Simplify right side
    16,414x = 1,551,572,100
  5. Step 5: Solve for x
    x = 1,551,572,100/16,414
  6. Step 6: Final answer
    x = 94,527.36

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.