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Finding the Third Proportional to 36,471.50 and 78,523

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Solution

The third proportional to 36,471.50 and 78,523 is: 169,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,471.50 : 78,523 = 78,523 : x
  2. Step 2: Convert to fraction form
    36,471.50/78,523 = 78,523/x
  3. Step 3: Cross multiply
    36,471.50x = 78,523 × 78,523
  4. Step 4: Simplify right side
    36,471.50x = 6,165,861,529
  5. Step 5: Solve for x
    x = 6,165,861,529/36,471.50
  6. Step 6: Final answer
    x = 169,059.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.