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Finding the Third Proportional to 2,594.06 and 5,456.44

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Solution

The third proportional to 2,594.06 and 5,456.44 is: 11,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.06 : 5,456.44 = 5,456.44 : x
  2. Step 2: Convert to fraction form
    2,594.06/5,456.44 = 5,456.44/x
  3. Step 3: Cross multiply
    2,594.06x = 5,456.44 × 5,456.44
  4. Step 4: Simplify right side
    2,594.06x = 29,772,710.19
  5. Step 5: Solve for x
    x = 29,772,710.19/2,594.06
  6. Step 6: Final answer
    x = 11,477.25

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