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Finding the Third Proportional to 36,239 and 51,033

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Solution

The third proportional to 36,239 and 51,033 is: 71,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,239 : 51,033 = 51,033 : x
  2. Step 2: Convert to fraction form
    36,239/51,033 = 51,033/x
  3. Step 3: Cross multiply
    36,239x = 51,033 × 51,033
  4. Step 4: Simplify right side
    36,239x = 2,604,367,089
  5. Step 5: Solve for x
    x = 2,604,367,089/36,239
  6. Step 6: Final answer
    x = 71,866.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.