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Finding the Third Proportional to 13,400 and 36,416

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Solution

The third proportional to 13,400 and 36,416 is: 98,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400 : 36,416 = 36,416 : x
  2. Step 2: Convert to fraction form
    13,400/36,416 = 36,416/x
  3. Step 3: Cross multiply
    13,400x = 36,416 × 36,416
  4. Step 4: Simplify right side
    13,400x = 1,326,125,056
  5. Step 5: Solve for x
    x = 1,326,125,056/13,400
  6. Step 6: Final answer
    x = 98,964.56

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.