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Finding the Third Proportional to 1,195.70 and 1,831.68

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Solution

The third proportional to 1,195.70 and 1,831.68 is: 2,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.70 : 1,831.68 = 1,831.68 : x
  2. Step 2: Convert to fraction form
    1,195.70/1,831.68 = 1,831.68/x
  3. Step 3: Cross multiply
    1,195.70x = 1,831.68 × 1,831.68
  4. Step 4: Simplify right side
    1,195.70x = 3,355,036.17
  5. Step 5: Solve for x
    x = 3,355,036.17/1,195.70
  6. Step 6: Final answer
    x = 2,805.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.