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Finding the Third Proportional to 36,937 and 81,650

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Solution

The third proportional to 36,937 and 81,650 is: 180,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,937 : 81,650 = 81,650 : x
  2. Step 2: Convert to fraction form
    36,937/81,650 = 81,650/x
  3. Step 3: Cross multiply
    36,937x = 81,650 × 81,650
  4. Step 4: Simplify right side
    36,937x = 6,666,722,500
  5. Step 5: Solve for x
    x = 6,666,722,500/36,937
  6. Step 6: Final answer
    x = 180,489.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.