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Finding the Third Proportional to 11,831.06 and 25,303.69

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Solution

The third proportional to 11,831.06 and 25,303.69 is: 54,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.06 : 25,303.69 = 25,303.69 : x
  2. Step 2: Convert to fraction form
    11,831.06/25,303.69 = 25,303.69/x
  3. Step 3: Cross multiply
    11,831.06x = 25,303.69 × 25,303.69
  4. Step 4: Simplify right side
    11,831.06x = 640,276,601.10
  5. Step 5: Solve for x
    x = 640,276,601.10/11,831.06
  6. Step 6: Final answer
    x = 54,118.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.