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Finding the Third Proportional to 13,390 and 29,162

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Solution

The third proportional to 13,390 and 29,162 is: 63,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390 : 29,162 = 29,162 : x
  2. Step 2: Convert to fraction form
    13,390/29,162 = 29,162/x
  3. Step 3: Cross multiply
    13,390x = 29,162 × 29,162
  4. Step 4: Simplify right side
    13,390x = 850,422,244
  5. Step 5: Solve for x
    x = 850,422,244/13,390
  6. Step 6: Final answer
    x = 63,511.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.