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Finding the Third Proportional to 14,687.63 and 31,049.63

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Solution

The third proportional to 14,687.63 and 31,049.63 is: 65,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.63 : 31,049.63 = 31,049.63 : x
  2. Step 2: Convert to fraction form
    14,687.63/31,049.63 = 31,049.63/x
  3. Step 3: Cross multiply
    14,687.63x = 31,049.63 × 31,049.63
  4. Step 4: Simplify right side
    14,687.63x = 964,079,212.64
  5. Step 5: Solve for x
    x = 964,079,212.64/14,687.63
  6. Step 6: Final answer
    x = 65,638.88

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.