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Finding the Third Proportional to 3,738.97 and 7,862.38

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Solution

The third proportional to 3,738.97 and 7,862.38 is: 16,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.97 : 7,862.38 = 7,862.38 : x
  2. Step 2: Convert to fraction form
    3,738.97/7,862.38 = 7,862.38/x
  3. Step 3: Cross multiply
    3,738.97x = 7,862.38 × 7,862.38
  4. Step 4: Simplify right side
    3,738.97x = 61,817,002.07
  5. Step 5: Solve for x
    x = 61,817,002.07/3,738.97
  6. Step 6: Final answer
    x = 16,533.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.