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Finding the Third Proportional to 14,804.50 and 31,805

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Solution

The third proportional to 14,804.50 and 31,805 is: 68,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.50 : 31,805 = 31,805 : x
  2. Step 2: Convert to fraction form
    14,804.50/31,805 = 31,805/x
  3. Step 3: Cross multiply
    14,804.50x = 31,805 × 31,805
  4. Step 4: Simplify right side
    14,804.50x = 1,011,558,025
  5. Step 5: Solve for x
    x = 1,011,558,025/14,804.50
  6. Step 6: Final answer
    x = 68,327.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.