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Finding the Third Proportional to 25,262.50 and 54,950

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Solution

The third proportional to 25,262.50 and 54,950 is: 119,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,262.50 : 54,950 = 54,950 : x
  2. Step 2: Convert to fraction form
    25,262.50/54,950 = 54,950/x
  3. Step 3: Cross multiply
    25,262.50x = 54,950 × 54,950
  4. Step 4: Simplify right side
    25,262.50x = 3,019,502,500
  5. Step 5: Solve for x
    x = 3,019,502,500/25,262.50
  6. Step 6: Final answer
    x = 119,525.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.