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Finding the Third Proportional to 16,773 and 36,280

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Solution

The third proportional to 16,773 and 36,280 is: 78,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,773 : 36,280 = 36,280 : x
  2. Step 2: Convert to fraction form
    16,773/36,280 = 36,280/x
  3. Step 3: Cross multiply
    16,773x = 36,280 × 36,280
  4. Step 4: Simplify right side
    16,773x = 1,316,238,400
  5. Step 5: Solve for x
    x = 1,316,238,400/16,773
  6. Step 6: Final answer
    x = 78,473.64

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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.