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Finding the Third Proportional to 1,837.41 and 4,005.28

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Solution

The third proportional to 1,837.41 and 4,005.28 is: 8,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.41 : 4,005.28 = 4,005.28 : x
  2. Step 2: Convert to fraction form
    1,837.41/4,005.28 = 4,005.28/x
  3. Step 3: Cross multiply
    1,837.41x = 4,005.28 × 4,005.28
  4. Step 4: Simplify right side
    1,837.41x = 16,042,277.89
  5. Step 5: Solve for x
    x = 16,042,277.89/1,837.41
  6. Step 6: Final answer
    x = 8,730.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.