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Finding the Third Proportional to 16,329 and 34,791

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Solution

The third proportional to 16,329 and 34,791 is: 74,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,329 : 34,791 = 34,791 : x
  2. Step 2: Convert to fraction form
    16,329/34,791 = 34,791/x
  3. Step 3: Cross multiply
    16,329x = 34,791 × 34,791
  4. Step 4: Simplify right side
    16,329x = 1,210,413,681
  5. Step 5: Solve for x
    x = 1,210,413,681/16,329
  6. Step 6: Final answer
    x = 74,126.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.