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Finding the Third Proportional to 12,882.75 and 29,825.88

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Solution

The third proportional to 12,882.75 and 29,825.88 is: 69,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.75 : 29,825.88 = 29,825.88 : x
  2. Step 2: Convert to fraction form
    12,882.75/29,825.88 = 29,825.88/x
  3. Step 3: Cross multiply
    12,882.75x = 29,825.88 × 29,825.88
  4. Step 4: Simplify right side
    12,882.75x = 889,582,819.52
  5. Step 5: Solve for x
    x = 889,582,819.52/12,882.75
  6. Step 6: Final answer
    x = 69,052.25

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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.