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Finding the Third Proportional to 14,311.69 and 31,463.02

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Solution

The third proportional to 14,311.69 and 31,463.02 is: 69,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.69 : 31,463.02 = 31,463.02 : x
  2. Step 2: Convert to fraction form
    14,311.69/31,463.02 = 31,463.02/x
  3. Step 3: Cross multiply
    14,311.69x = 31,463.02 × 31,463.02
  4. Step 4: Simplify right side
    14,311.69x = 989,921,352.22
  5. Step 5: Solve for x
    x = 989,921,352.22/14,311.69
  6. Step 6: Final answer
    x = 69,168.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.