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Finding the Third Proportional to 36,847 and 78,076

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Solution

The third proportional to 36,847 and 78,076 is: 165,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,847 : 78,076 = 78,076 : x
  2. Step 2: Convert to fraction form
    36,847/78,076 = 78,076/x
  3. Step 3: Cross multiply
    36,847x = 78,076 × 78,076
  4. Step 4: Simplify right side
    36,847x = 6,095,861,776
  5. Step 5: Solve for x
    x = 6,095,861,776/36,847
  6. Step 6: Final answer
    x = 165,437.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.