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Finding the Third Proportional to 1,821.09 and 3,901.92

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Solution

The third proportional to 1,821.09 and 3,901.92 is: 8,360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.09 : 3,901.92 = 3,901.92 : x
  2. Step 2: Convert to fraction form
    1,821.09/3,901.92 = 3,901.92/x
  3. Step 3: Cross multiply
    1,821.09x = 3,901.92 × 3,901.92
  4. Step 4: Simplify right side
    1,821.09x = 15,224,994.32
  5. Step 5: Solve for x
    x = 15,224,994.32/1,821.09
  6. Step 6: Final answer
    x = 8,360.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.