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Finding the Third Proportional to 13,342.75 and 20,930

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Solution

The third proportional to 13,342.75 and 20,930 is: 32,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342.75 : 20,930 = 20,930 : x
  2. Step 2: Convert to fraction form
    13,342.75/20,930 = 20,930/x
  3. Step 3: Cross multiply
    13,342.75x = 20,930 × 20,930
  4. Step 4: Simplify right side
    13,342.75x = 438,064,900
  5. Step 5: Solve for x
    x = 438,064,900/13,342.75
  6. Step 6: Final answer
    x = 32,831.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.