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Finding the Third Proportional to 51,042 and 73,633.50

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Solution

The third proportional to 51,042 and 73,633.50 is: 106,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,042 : 73,633.50 = 73,633.50 : x
  2. Step 2: Convert to fraction form
    51,042/73,633.50 = 73,633.50/x
  3. Step 3: Cross multiply
    51,042x = 73,633.50 × 73,633.50
  4. Step 4: Simplify right side
    51,042x = 5,421,892,322.25
  5. Step 5: Solve for x
    x = 5,421,892,322.25/51,042
  6. Step 6: Final answer
    x = 106,224.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.