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Finding the Third Proportional to 5,573.25 and 8,657.44

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Solution

The third proportional to 5,573.25 and 8,657.44 is: 13,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.25 : 8,657.44 = 8,657.44 : x
  2. Step 2: Convert to fraction form
    5,573.25/8,657.44 = 8,657.44/x
  3. Step 3: Cross multiply
    5,573.25x = 8,657.44 × 8,657.44
  4. Step 4: Simplify right side
    5,573.25x = 74,951,224.07
  5. Step 5: Solve for x
    x = 74,951,224.07/5,573.25
  6. Step 6: Final answer
    x = 13,448.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.