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Finding the Third Proportional to 3,835.97 and 4,188.94

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Solution

The third proportional to 3,835.97 and 4,188.94 is: 4,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.97 : 4,188.94 = 4,188.94 : x
  2. Step 2: Convert to fraction form
    3,835.97/4,188.94 = 4,188.94/x
  3. Step 3: Cross multiply
    3,835.97x = 4,188.94 × 4,188.94
  4. Step 4: Simplify right side
    3,835.97x = 17,547,197.38
  5. Step 5: Solve for x
    x = 17,547,197.38/3,835.97
  6. Step 6: Final answer
    x = 4,574.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.