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Finding the Third Proportional to 13,461.75 and 27,596.25

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Solution

The third proportional to 13,461.75 and 27,596.25 is: 56,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.75 : 27,596.25 = 27,596.25 : x
  2. Step 2: Convert to fraction form
    13,461.75/27,596.25 = 27,596.25/x
  3. Step 3: Cross multiply
    13,461.75x = 27,596.25 × 27,596.25
  4. Step 4: Simplify right side
    13,461.75x = 761,553,014.06
  5. Step 5: Solve for x
    x = 761,553,014.06/13,461.75
  6. Step 6: Final answer
    x = 56,571.62

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.