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Finding the Third Proportional to 14,544.28 and 31,314.94

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Solution

The third proportional to 14,544.28 and 31,314.94 is: 67,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.28 : 31,314.94 = 31,314.94 : x
  2. Step 2: Convert to fraction form
    14,544.28/31,314.94 = 31,314.94/x
  3. Step 3: Cross multiply
    14,544.28x = 31,314.94 × 31,314.94
  4. Step 4: Simplify right side
    14,544.28x = 980,625,310.63
  5. Step 5: Solve for x
    x = 980,625,310.63/14,544.28
  6. Step 6: Final answer
    x = 67,423.43

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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.