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Finding the Third Proportional to 13,402 and 20,416

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Solution

The third proportional to 13,402 and 20,416 is: 31,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402 : 20,416 = 20,416 : x
  2. Step 2: Convert to fraction form
    13,402/20,416 = 20,416/x
  3. Step 3: Cross multiply
    13,402x = 20,416 × 20,416
  4. Step 4: Simplify right side
    13,402x = 416,813,056
  5. Step 5: Solve for x
    x = 416,813,056/13,402
  6. Step 6: Final answer
    x = 31,100.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.