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Finding the Third Proportional to 5,464 and 13,156

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Solution

The third proportional to 5,464 and 13,156 is: 31,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464 : 13,156 = 13,156 : x
  2. Step 2: Convert to fraction form
    5,464/13,156 = 13,156/x
  3. Step 3: Cross multiply
    5,464x = 13,156 × 13,156
  4. Step 4: Simplify right side
    5,464x = 173,080,336
  5. Step 5: Solve for x
    x = 173,080,336/5,464
  6. Step 6: Final answer
    x = 31,676.49

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.