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Finding the Third Proportional to 16,788 and 36,200

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Solution

The third proportional to 16,788 and 36,200 is: 78,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,788 : 36,200 = 36,200 : x
  2. Step 2: Convert to fraction form
    16,788/36,200 = 36,200/x
  3. Step 3: Cross multiply
    16,788x = 36,200 × 36,200
  4. Step 4: Simplify right side
    16,788x = 1,310,440,000
  5. Step 5: Solve for x
    x = 1,310,440,000/16,788
  6. Step 6: Final answer
    x = 78,058.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.