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Finding the Third Proportional to 36,650 and 54,964

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Solution

The third proportional to 36,650 and 54,964 is: 82,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,650 : 54,964 = 54,964 : x
  2. Step 2: Convert to fraction form
    36,650/54,964 = 54,964/x
  3. Step 3: Cross multiply
    36,650x = 54,964 × 54,964
  4. Step 4: Simplify right side
    36,650x = 3,021,041,296
  5. Step 5: Solve for x
    x = 3,021,041,296/36,650
  6. Step 6: Final answer
    x = 82,429.50

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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.