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Finding the Third Proportional to 25,881.75 and 53,950.50

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Solution

The third proportional to 25,881.75 and 53,950.50 is: 112,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.75 : 53,950.50 = 53,950.50 : x
  2. Step 2: Convert to fraction form
    25,881.75/53,950.50 = 53,950.50/x
  3. Step 3: Cross multiply
    25,881.75x = 53,950.50 × 53,950.50
  4. Step 4: Simplify right side
    25,881.75x = 2,910,656,450.25
  5. Step 5: Solve for x
    x = 2,910,656,450.25/25,881.75
  6. Step 6: Final answer
    x = 112,459.80

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.