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Finding the Third Proportional to 36,393.75 and 78,376.50

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Solution

The third proportional to 36,393.75 and 78,376.50 is: 168,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,393.75 : 78,376.50 = 78,376.50 : x
  2. Step 2: Convert to fraction form
    36,393.75/78,376.50 = 78,376.50/x
  3. Step 3: Cross multiply
    36,393.75x = 78,376.50 × 78,376.50
  4. Step 4: Simplify right side
    36,393.75x = 6,142,875,752.25
  5. Step 5: Solve for x
    x = 6,142,875,752.25/36,393.75
  6. Step 6: Final answer
    x = 168,789.30

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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.