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Finding the Third Proportional to 5,616 and 8,594.44

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Solution

The third proportional to 5,616 and 8,594.44 is: 13,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616 : 8,594.44 = 8,594.44 : x
  2. Step 2: Convert to fraction form
    5,616/8,594.44 = 8,594.44/x
  3. Step 3: Cross multiply
    5,616x = 8,594.44 × 8,594.44
  4. Step 4: Simplify right side
    5,616x = 73,864,355.94
  5. Step 5: Solve for x
    x = 73,864,355.94/5,616
  6. Step 6: Final answer
    x = 13,152.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.