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Finding the Third Proportional to 27,405 and 39,831.75

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Solution

The third proportional to 27,405 and 39,831.75 is: 57,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405 : 39,831.75 = 39,831.75 : x
  2. Step 2: Convert to fraction form
    27,405/39,831.75 = 39,831.75/x
  3. Step 3: Cross multiply
    27,405x = 39,831.75 × 39,831.75
  4. Step 4: Simplify right side
    27,405x = 1,586,568,308.06
  5. Step 5: Solve for x
    x = 1,586,568,308.06/27,405
  6. Step 6: Final answer
    x = 57,893.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.