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Finding the Third Proportional to 50,005 and 73,033

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Solution

The third proportional to 50,005 and 73,033 is: 106,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,005 : 73,033 = 73,033 : x
  2. Step 2: Convert to fraction form
    50,005/73,033 = 73,033/x
  3. Step 3: Cross multiply
    50,005x = 73,033 × 73,033
  4. Step 4: Simplify right side
    50,005x = 5,333,819,089
  5. Step 5: Solve for x
    x = 5,333,819,089/50,005
  6. Step 6: Final answer
    x = 106,665.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.