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Finding the Third Proportional to 12,831.54 and 19,195.10

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Solution

The third proportional to 12,831.54 and 19,195.10 is: 28,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.54 : 19,195.10 = 19,195.10 : x
  2. Step 2: Convert to fraction form
    12,831.54/19,195.10 = 19,195.10/x
  3. Step 3: Cross multiply
    12,831.54x = 19,195.10 × 19,195.10
  4. Step 4: Simplify right side
    12,831.54x = 368,451,923.99
  5. Step 5: Solve for x
    x = 368,451,923.99/12,831.54
  6. Step 6: Final answer
    x = 28,714.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.