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Finding the Third Proportional to 10,414 and 16,153

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Solution

The third proportional to 10,414 and 16,153 is: 25,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414 : 16,153 = 16,153 : x
  2. Step 2: Convert to fraction form
    10,414/16,153 = 16,153/x
  3. Step 3: Cross multiply
    10,414x = 16,153 × 16,153
  4. Step 4: Simplify right side
    10,414x = 260,919,409
  5. Step 5: Solve for x
    x = 260,919,409/10,414
  6. Step 6: Final answer
    x = 25,054.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.