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Finding the Third Proportional to 16,413 and 30,759

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Solution

The third proportional to 16,413 and 30,759 is: 57,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413 : 30,759 = 30,759 : x
  2. Step 2: Convert to fraction form
    16,413/30,759 = 30,759/x
  3. Step 3: Cross multiply
    16,413x = 30,759 × 30,759
  4. Step 4: Simplify right side
    16,413x = 946,116,081
  5. Step 5: Solve for x
    x = 946,116,081/16,413
  6. Step 6: Final answer
    x = 57,644.31

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.