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Finding the Third Proportional to 25,265.25 and 59,532.75

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Solution

The third proportional to 25,265.25 and 59,532.75 is: 140,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,265.25 : 59,532.75 = 59,532.75 : x
  2. Step 2: Convert to fraction form
    25,265.25/59,532.75 = 59,532.75/x
  3. Step 3: Cross multiply
    25,265.25x = 59,532.75 × 59,532.75
  4. Step 4: Simplify right side
    25,265.25x = 3,544,148,322.56
  5. Step 5: Solve for x
    x = 3,544,148,322.56/25,265.25
  6. Step 6: Final answer
    x = 140,277.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.