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Finding the Third Proportional to 17,129.25 and 34,731

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Solution

The third proportional to 17,129.25 and 34,731 is: 70,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.25 : 34,731 = 34,731 : x
  2. Step 2: Convert to fraction form
    17,129.25/34,731 = 34,731/x
  3. Step 3: Cross multiply
    17,129.25x = 34,731 × 34,731
  4. Step 4: Simplify right side
    17,129.25x = 1,206,242,361
  5. Step 5: Solve for x
    x = 1,206,242,361/17,129.25
  6. Step 6: Final answer
    x = 70,420.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.