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Finding the Third Proportional to 10,748 and 17,162

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Solution

The third proportional to 10,748 and 17,162 is: 27,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748 : 17,162 = 17,162 : x
  2. Step 2: Convert to fraction form
    10,748/17,162 = 17,162/x
  3. Step 3: Cross multiply
    10,748x = 17,162 × 17,162
  4. Step 4: Simplify right side
    10,748x = 294,534,244
  5. Step 5: Solve for x
    x = 294,534,244/10,748
  6. Step 6: Final answer
    x = 27,403.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.