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Finding the Third Proportional to 16,588 and 34,713

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Solution

The third proportional to 16,588 and 34,713 is: 72,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588 : 34,713 = 34,713 : x
  2. Step 2: Convert to fraction form
    16,588/34,713 = 34,713/x
  3. Step 3: Cross multiply
    16,588x = 34,713 × 34,713
  4. Step 4: Simplify right side
    16,588x = 1,204,992,369
  5. Step 5: Solve for x
    x = 1,204,992,369/16,588
  6. Step 6: Final answer
    x = 72,642.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.