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Finding the Third Proportional to 36,357 and 77,970

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Solution

The third proportional to 36,357 and 77,970 is: 167,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,357 : 77,970 = 77,970 : x
  2. Step 2: Convert to fraction form
    36,357/77,970 = 77,970/x
  3. Step 3: Cross multiply
    36,357x = 77,970 × 77,970
  4. Step 4: Simplify right side
    36,357x = 6,079,320,900
  5. Step 5: Solve for x
    x = 6,079,320,900/36,357
  6. Step 6: Final answer
    x = 167,211.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.