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Finding the Third Proportional to 14,726.81 and 31,959.56

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Solution

The third proportional to 14,726.81 and 31,959.56 is: 69,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,726.81 : 31,959.56 = 31,959.56 : x
  2. Step 2: Convert to fraction form
    14,726.81/31,959.56 = 31,959.56/x
  3. Step 3: Cross multiply
    14,726.81x = 31,959.56 × 31,959.56
  4. Step 4: Simplify right side
    14,726.81x = 1,021,413,635.19
  5. Step 5: Solve for x
    x = 1,021,413,635.19/14,726.81
  6. Step 6: Final answer
    x = 69,357.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.