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Finding the Third Proportional to 17,129.25 and 22,914

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Solution

The third proportional to 17,129.25 and 22,914 is: 30,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.25 : 22,914 = 22,914 : x
  2. Step 2: Convert to fraction form
    17,129.25/22,914 = 22,914/x
  3. Step 3: Cross multiply
    17,129.25x = 22,914 × 22,914
  4. Step 4: Simplify right side
    17,129.25x = 525,051,396
  5. Step 5: Solve for x
    x = 525,051,396/17,129.25
  6. Step 6: Final answer
    x = 30,652.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.