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Finding the Third Proportional to 25,488.56 and 55,078.31

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Solution

The third proportional to 25,488.56 and 55,078.31 is: 119,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,488.56 : 55,078.31 = 55,078.31 : x
  2. Step 2: Convert to fraction form
    25,488.56/55,078.31 = 55,078.31/x
  3. Step 3: Cross multiply
    25,488.56x = 55,078.31 × 55,078.31
  4. Step 4: Simplify right side
    25,488.56x = 3,033,620,507.85
  5. Step 5: Solve for x
    x = 3,033,620,507.85/25,488.56
  6. Step 6: Final answer
    x = 119,018.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.