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Finding the Third Proportional to 25,548.75 and 54,140.06

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Solution

The third proportional to 25,548.75 and 54,140.06 is: 114,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,548.75 : 54,140.06 = 54,140.06 : x
  2. Step 2: Convert to fraction form
    25,548.75/54,140.06 = 54,140.06/x
  3. Step 3: Cross multiply
    25,548.75x = 54,140.06 × 54,140.06
  4. Step 4: Simplify right side
    25,548.75x = 2,931,146,367.50
  5. Step 5: Solve for x
    x = 2,931,146,367.50/25,548.75
  6. Step 6: Final answer
    x = 114,727.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.