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Finding the Third Proportional to 13,400 and 15,236

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Solution

The third proportional to 13,400 and 15,236 is: 17,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400 : 15,236 = 15,236 : x
  2. Step 2: Convert to fraction form
    13,400/15,236 = 15,236/x
  3. Step 3: Cross multiply
    13,400x = 15,236 × 15,236
  4. Step 4: Simplify right side
    13,400x = 232,135,696
  5. Step 5: Solve for x
    x = 232,135,696/13,400
  6. Step 6: Final answer
    x = 17,323.56

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.