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Finding the Third Proportional to 7,831.05 and 12,139.56

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Solution

The third proportional to 7,831.05 and 12,139.56 is: 18,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.05 : 12,139.56 = 12,139.56 : x
  2. Step 2: Convert to fraction form
    7,831.05/12,139.56 = 12,139.56/x
  3. Step 3: Cross multiply
    7,831.05x = 12,139.56 × 12,139.56
  4. Step 4: Simplify right side
    7,831.05x = 147,368,882.85
  5. Step 5: Solve for x
    x = 147,368,882.85/7,831.05
  6. Step 6: Final answer
    x = 18,818.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.