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Finding the Third Proportional to 16,060 and 17,536

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Solution

The third proportional to 16,060 and 17,536 is: 19,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,060 : 17,536 = 17,536 : x
  2. Step 2: Convert to fraction form
    16,060/17,536 = 17,536/x
  3. Step 3: Cross multiply
    16,060x = 17,536 × 17,536
  4. Step 4: Simplify right side
    16,060x = 307,511,296
  5. Step 5: Solve for x
    x = 307,511,296/16,060
  6. Step 6: Final answer
    x = 19,147.65

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.