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Finding the Third Proportional to 36,475 and 78,494

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Solution

The third proportional to 36,475 and 78,494 is: 168,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,475 : 78,494 = 78,494 : x
  2. Step 2: Convert to fraction form
    36,475/78,494 = 78,494/x
  3. Step 3: Cross multiply
    36,475x = 78,494 × 78,494
  4. Step 4: Simplify right side
    36,475x = 6,161,308,036
  5. Step 5: Solve for x
    x = 6,161,308,036/36,475
  6. Step 6: Final answer
    x = 168,918.66

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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.