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Finding the Third Proportional to 14,029.45 and 30,696.47

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Solution

The third proportional to 14,029.45 and 30,696.47 is: 67,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029.45 : 30,696.47 = 30,696.47 : x
  2. Step 2: Convert to fraction form
    14,029.45/30,696.47 = 30,696.47/x
  3. Step 3: Cross multiply
    14,029.45x = 30,696.47 × 30,696.47
  4. Step 4: Simplify right side
    14,029.45x = 942,273,193.72
  5. Step 5: Solve for x
    x = 942,273,193.72/14,029.45
  6. Step 6: Final answer
    x = 67,163.93

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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.