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Finding the Third Proportional to 1,790.44 and 2,354.06

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Solution

The third proportional to 1,790.44 and 2,354.06 is: 3,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.44 : 2,354.06 = 2,354.06 : x
  2. Step 2: Convert to fraction form
    1,790.44/2,354.06 = 2,354.06/x
  3. Step 3: Cross multiply
    1,790.44x = 2,354.06 × 2,354.06
  4. Step 4: Simplify right side
    1,790.44x = 5,541,610.25
  5. Step 5: Solve for x
    x = 5,541,610.25/1,790.44
  6. Step 6: Final answer
    x = 3,095.12

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.