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Finding the Third Proportional to 36,478 and 78,405

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Solution

The third proportional to 36,478 and 78,405 is: 168,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478 : 78,405 = 78,405 : x
  2. Step 2: Convert to fraction form
    36,478/78,405 = 78,405/x
  3. Step 3: Cross multiply
    36,478x = 78,405 × 78,405
  4. Step 4: Simplify right side
    36,478x = 6,147,344,025
  5. Step 5: Solve for x
    x = 6,147,344,025/36,478
  6. Step 6: Final answer
    x = 168,521.96

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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.