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Finding the Third Proportional to 14,704.58 and 31,701.36

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Solution

The third proportional to 14,704.58 and 31,701.36 is: 68,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.58 : 31,701.36 = 31,701.36 : x
  2. Step 2: Convert to fraction form
    14,704.58/31,701.36 = 31,701.36/x
  3. Step 3: Cross multiply
    14,704.58x = 31,701.36 × 31,701.36
  4. Step 4: Simplify right side
    14,704.58x = 1,004,975,923.08
  5. Step 5: Solve for x
    x = 1,004,975,923.08/14,704.58
  6. Step 6: Final answer
    x = 68,344.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.