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Finding the Third Proportional to 14,625.56 and 31,979.81

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Solution

The third proportional to 14,625.56 and 31,979.81 is: 69,926.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625.56 : 31,979.81 = 31,979.81 : x
  2. Step 2: Convert to fraction form
    14,625.56/31,979.81 = 31,979.81/x
  3. Step 3: Cross multiply
    14,625.56x = 31,979.81 × 31,979.81
  4. Step 4: Simplify right side
    14,625.56x = 1,022,708,407.54
  5. Step 5: Solve for x
    x = 1,022,708,407.54/14,625.56
  6. Step 6: Final answer
    x = 69,926.09

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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.