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Finding the Third Proportional to 14,634.11 and 31,626.07

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Solution

The third proportional to 14,634.11 and 31,626.07 is: 68,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.11 : 31,626.07 = 31,626.07 : x
  2. Step 2: Convert to fraction form
    14,634.11/31,626.07 = 31,626.07/x
  3. Step 3: Cross multiply
    14,634.11x = 31,626.07 × 31,626.07
  4. Step 4: Simplify right side
    14,634.11x = 1,000,208,323.41
  5. Step 5: Solve for x
    x = 1,000,208,323.41/14,634.11
  6. Step 6: Final answer
    x = 68,347.76

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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.