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Finding the Third Proportional to 17,271 and 35,770

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Solution

The third proportional to 17,271 and 35,770 is: 74,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271 : 35,770 = 35,770 : x
  2. Step 2: Convert to fraction form
    17,271/35,770 = 35,770/x
  3. Step 3: Cross multiply
    17,271x = 35,770 × 35,770
  4. Step 4: Simplify right side
    17,271x = 1,279,492,900
  5. Step 5: Solve for x
    x = 1,279,492,900/17,271
  6. Step 6: Final answer
    x = 74,083.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.