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Finding the Third Proportional to 30,166 and 39,670

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Solution

The third proportional to 30,166 and 39,670 is: 52,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166 : 39,670 = 39,670 : x
  2. Step 2: Convert to fraction form
    30,166/39,670 = 39,670/x
  3. Step 3: Cross multiply
    30,166x = 39,670 × 39,670
  4. Step 4: Simplify right side
    30,166x = 1,573,708,900
  5. Step 5: Solve for x
    x = 1,573,708,900/30,166
  6. Step 6: Final answer
    x = 52,168.30

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.