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Finding the Third Proportional to 36,210.50 and 76,795

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Solution

The third proportional to 36,210.50 and 76,795 is: 162,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,210.50 : 76,795 = 76,795 : x
  2. Step 2: Convert to fraction form
    36,210.50/76,795 = 76,795/x
  3. Step 3: Cross multiply
    36,210.50x = 76,795 × 76,795
  4. Step 4: Simplify right side
    36,210.50x = 5,897,472,025
  5. Step 5: Solve for x
    x = 5,897,472,025/36,210.50
  6. Step 6: Final answer
    x = 162,866.35

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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.