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Finding the Third Proportional to 25,052.25 and 58,256.25

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Solution

The third proportional to 25,052.25 and 58,256.25 is: 135,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,052.25 : 58,256.25 = 58,256.25 : x
  2. Step 2: Convert to fraction form
    25,052.25/58,256.25 = 58,256.25/x
  3. Step 3: Cross multiply
    25,052.25x = 58,256.25 × 58,256.25
  4. Step 4: Simplify right side
    25,052.25x = 3,393,790,664.06
  5. Step 5: Solve for x
    x = 3,393,790,664.06/25,052.25
  6. Step 6: Final answer
    x = 135,468.50

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.