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Finding the Third Proportional to 25,888.75 and 55,464.50

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Solution

The third proportional to 25,888.75 and 55,464.50 is: 118,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,888.75 : 55,464.50 = 55,464.50 : x
  2. Step 2: Convert to fraction form
    25,888.75/55,464.50 = 55,464.50/x
  3. Step 3: Cross multiply
    25,888.75x = 55,464.50 × 55,464.50
  4. Step 4: Simplify right side
    25,888.75x = 3,076,310,760.25
  5. Step 5: Solve for x
    x = 3,076,310,760.25/25,888.75
  6. Step 6: Final answer
    x = 118,828.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.