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Finding the Third Proportional to 16,543.50 and 36,543

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Solution

The third proportional to 16,543.50 and 36,543 is: 80,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.50 : 36,543 = 36,543 : x
  2. Step 2: Convert to fraction form
    16,543.50/36,543 = 36,543/x
  3. Step 3: Cross multiply
    16,543.50x = 36,543 × 36,543
  4. Step 4: Simplify right side
    16,543.50x = 1,335,390,849
  5. Step 5: Solve for x
    x = 1,335,390,849/16,543.50
  6. Step 6: Final answer
    x = 80,719.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.