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Finding the Third Proportional to 36,500 and 78,830

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Solution

The third proportional to 36,500 and 78,830 is: 170,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,500 : 78,830 = 78,830 : x
  2. Step 2: Convert to fraction form
    36,500/78,830 = 78,830/x
  3. Step 3: Cross multiply
    36,500x = 78,830 × 78,830
  4. Step 4: Simplify right side
    36,500x = 6,214,168,900
  5. Step 5: Solve for x
    x = 6,214,168,900/36,500
  6. Step 6: Final answer
    x = 170,251.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.