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Finding the Third Proportional to 25,251.75 and 58,633.88

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Solution

The third proportional to 25,251.75 and 58,633.88 is: 136,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,251.75 : 58,633.88 = 58,633.88 : x
  2. Step 2: Convert to fraction form
    25,251.75/58,633.88 = 58,633.88/x
  3. Step 3: Cross multiply
    25,251.75x = 58,633.88 × 58,633.88
  4. Step 4: Simplify right side
    25,251.75x = 3,437,931,297.52
  5. Step 5: Solve for x
    x = 3,437,931,297.52/25,251.75
  6. Step 6: Final answer
    x = 136,146.26

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.