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Finding the Third Proportional to 14,825.11 and 31,768.88

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Solution

The third proportional to 14,825.11 and 31,768.88 is: 68,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.11 : 31,768.88 = 31,768.88 : x
  2. Step 2: Convert to fraction form
    14,825.11/31,768.88 = 31,768.88/x
  3. Step 3: Cross multiply
    14,825.11x = 31,768.88 × 31,768.88
  4. Step 4: Simplify right side
    14,825.11x = 1,009,261,418.77
  5. Step 5: Solve for x
    x = 1,009,261,418.77/14,825.11
  6. Step 6: Final answer
    x = 68,077.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.