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Finding the Third Proportional to 25,882.25 and 55,455.75

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Solution

The third proportional to 25,882.25 and 55,455.75 is: 118,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.25 : 55,455.75 = 55,455.75 : x
  2. Step 2: Convert to fraction form
    25,882.25/55,455.75 = 55,455.75/x
  3. Step 3: Cross multiply
    25,882.25x = 55,455.75 × 55,455.75
  4. Step 4: Simplify right side
    25,882.25x = 3,075,340,208.06
  5. Step 5: Solve for x
    x = 3,075,340,208.06/25,882.25
  6. Step 6: Final answer
    x = 118,820.44

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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.