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Finding the Third Proportional to 25,564.50 and 55,865.25

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Solution

The third proportional to 25,564.50 and 55,865.25 is: 122,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564.50 : 55,865.25 = 55,865.25 : x
  2. Step 2: Convert to fraction form
    25,564.50/55,865.25 = 55,865.25/x
  3. Step 3: Cross multiply
    25,564.50x = 55,865.25 × 55,865.25
  4. Step 4: Simplify right side
    25,564.50x = 3,120,926,157.56
  5. Step 5: Solve for x
    x = 3,120,926,157.56/25,564.50
  6. Step 6: Final answer
    x = 122,080.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.