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Finding the Third Proportional to 26,831.25 and 35,292.38

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Solution

The third proportional to 26,831.25 and 35,292.38 is: 46,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,831.25 : 35,292.38 = 35,292.38 : x
  2. Step 2: Convert to fraction form
    26,831.25/35,292.38 = 35,292.38/x
  3. Step 3: Cross multiply
    26,831.25x = 35,292.38 × 35,292.38
  4. Step 4: Simplify right side
    26,831.25x = 1,245,551,733.14
  5. Step 5: Solve for x
    x = 1,245,551,733.14/26,831.25
  6. Step 6: Final answer
    x = 46,421.68

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.