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Finding the Third Proportional to 25,924.50 and 55,453.75

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Solution

The third proportional to 25,924.50 and 55,453.75 is: 118,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924.50 : 55,453.75 = 55,453.75 : x
  2. Step 2: Convert to fraction form
    25,924.50/55,453.75 = 55,453.75/x
  3. Step 3: Cross multiply
    25,924.50x = 55,453.75 × 55,453.75
  4. Step 4: Simplify right side
    25,924.50x = 3,075,118,389.06
  5. Step 5: Solve for x
    x = 3,075,118,389.06/25,924.50
  6. Step 6: Final answer
    x = 118,618.23

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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.