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Finding the Third Proportional to 36,834.25 and 78,474.25

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Solution

The third proportional to 36,834.25 and 78,474.25 is: 167,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,834.25 : 78,474.25 = 78,474.25 : x
  2. Step 2: Convert to fraction form
    36,834.25/78,474.25 = 78,474.25/x
  3. Step 3: Cross multiply
    36,834.25x = 78,474.25 × 78,474.25
  4. Step 4: Simplify right side
    36,834.25x = 6,158,207,913.06
  5. Step 5: Solve for x
    x = 6,158,207,913.06/36,834.25
  6. Step 6: Final answer
    x = 167,187.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.