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Finding the Third Proportional to 17,047 and 36,463.25

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Solution

The third proportional to 17,047 and 36,463.25 is: 77,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047 : 36,463.25 = 36,463.25 : x
  2. Step 2: Convert to fraction form
    17,047/36,463.25 = 36,463.25/x
  3. Step 3: Cross multiply
    17,047x = 36,463.25 × 36,463.25
  4. Step 4: Simplify right side
    17,047x = 1,329,568,600.56
  5. Step 5: Solve for x
    x = 1,329,568,600.56/17,047
  6. Step 6: Final answer
    x = 77,994.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.