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Finding the Third Proportional to 1,698.89 and 2,392.45

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Solution

The third proportional to 1,698.89 and 2,392.45 is: 3,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.89 : 2,392.45 = 2,392.45 : x
  2. Step 2: Convert to fraction form
    1,698.89/2,392.45 = 2,392.45/x
  3. Step 3: Cross multiply
    1,698.89x = 2,392.45 × 2,392.45
  4. Step 4: Simplify right side
    1,698.89x = 5,723,831.96
  5. Step 5: Solve for x
    x = 5,723,831.96/1,698.89
  6. Step 6: Final answer
    x = 3,369.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.