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Finding the Third Proportional to 836.02 and 1,831.64

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Solution

The third proportional to 836.02 and 1,831.64 is: 4,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.02 : 1,831.64 = 1,831.64 : x
  2. Step 2: Convert to fraction form
    836.02/1,831.64 = 1,831.64/x
  3. Step 3: Cross multiply
    836.02x = 1,831.64 × 1,831.64
  4. Step 4: Simplify right side
    836.02x = 3,354,907.38
  5. Step 5: Solve for x
    x = 3,354,907.38/836.02
  6. Step 6: Final answer
    x = 4,012.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.