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Finding the Third Proportional to 36,572 and 76,018

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Solution

The third proportional to 36,572 and 76,018 is: 158,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,572 : 76,018 = 76,018 : x
  2. Step 2: Convert to fraction form
    36,572/76,018 = 76,018/x
  3. Step 3: Cross multiply
    36,572x = 76,018 × 76,018
  4. Step 4: Simplify right side
    36,572x = 5,778,736,324
  5. Step 5: Solve for x
    x = 5,778,736,324/36,572
  6. Step 6: Final answer
    x = 158,009.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.