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Finding the Third Proportional to 16,147.27 and 34,630.17

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Solution

The third proportional to 16,147.27 and 34,630.17 is: 74,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.27 : 34,630.17 = 34,630.17 : x
  2. Step 2: Convert to fraction form
    16,147.27/34,630.17 = 34,630.17/x
  3. Step 3: Cross multiply
    16,147.27x = 34,630.17 × 34,630.17
  4. Step 4: Simplify right side
    16,147.27x = 1,199,248,804.09
  5. Step 5: Solve for x
    x = 1,199,248,804.09/16,147.27
  6. Step 6: Final answer
    x = 74,269.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.