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Finding the Third Proportional to 36,006 and 75,666

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Solution

The third proportional to 36,006 and 75,666 is: 159,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,006 : 75,666 = 75,666 : x
  2. Step 2: Convert to fraction form
    36,006/75,666 = 75,666/x
  3. Step 3: Cross multiply
    36,006x = 75,666 × 75,666
  4. Step 4: Simplify right side
    36,006x = 5,725,343,556
  5. Step 5: Solve for x
    x = 5,725,343,556/36,006
  6. Step 6: Final answer
    x = 159,010.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.