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Finding the Third Proportional to 36,828 and 55,246

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Solution

The third proportional to 36,828 and 55,246 is: 82,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,828 : 55,246 = 55,246 : x
  2. Step 2: Convert to fraction form
    36,828/55,246 = 55,246/x
  3. Step 3: Cross multiply
    36,828x = 55,246 × 55,246
  4. Step 4: Simplify right side
    36,828x = 3,052,120,516
  5. Step 5: Solve for x
    x = 3,052,120,516/36,828
  6. Step 6: Final answer
    x = 82,875.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.