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Finding the Third Proportional to 25,521.75 and 54,074.25

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Solution

The third proportional to 25,521.75 and 54,074.25 is: 114,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,521.75 : 54,074.25 = 54,074.25 : x
  2. Step 2: Convert to fraction form
    25,521.75/54,074.25 = 54,074.25/x
  3. Step 3: Cross multiply
    25,521.75x = 54,074.25 × 54,074.25
  4. Step 4: Simplify right side
    25,521.75x = 2,924,024,513.06
  5. Step 5: Solve for x
    x = 2,924,024,513.06/25,521.75
  6. Step 6: Final answer
    x = 114,569.91

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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.