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Finding the Third Proportional to 14,338.69 and 31,447.41

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Solution

The third proportional to 14,338.69 and 31,447.41 is: 68,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.69 : 31,447.41 = 31,447.41 : x
  2. Step 2: Convert to fraction form
    14,338.69/31,447.41 = 31,447.41/x
  3. Step 3: Cross multiply
    14,338.69x = 31,447.41 × 31,447.41
  4. Step 4: Simplify right side
    14,338.69x = 988,939,359.85
  5. Step 5: Solve for x
    x = 988,939,359.85/14,338.69
  6. Step 6: Final answer
    x = 68,970.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.