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Finding the Third Proportional to 16,823 and 36,060

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Solution

The third proportional to 16,823 and 36,060 is: 77,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823 : 36,060 = 36,060 : x
  2. Step 2: Convert to fraction form
    16,823/36,060 = 36,060/x
  3. Step 3: Cross multiply
    16,823x = 36,060 × 36,060
  4. Step 4: Simplify right side
    16,823x = 1,300,323,600
  5. Step 5: Solve for x
    x = 1,300,323,600/16,823
  6. Step 6: Final answer
    x = 77,294.39

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Why These Related Problems?

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