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Finding the Third Proportional to 14,439.09 and 31,034.81

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Solution

The third proportional to 14,439.09 and 31,034.81 is: 66,704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,439.09 : 31,034.81 = 31,034.81 : x
  2. Step 2: Convert to fraction form
    14,439.09/31,034.81 = 31,034.81/x
  3. Step 3: Cross multiply
    14,439.09x = 31,034.81 × 31,034.81
  4. Step 4: Simplify right side
    14,439.09x = 963,159,586.91
  5. Step 5: Solve for x
    x = 963,159,586.91/14,439.09
  6. Step 6: Final answer
    x = 66,704.99

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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.