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Finding the Third Proportional to 12,696 and 29,670

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Solution

The third proportional to 12,696 and 29,670 is: 69,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696 : 29,670 = 29,670 : x
  2. Step 2: Convert to fraction form
    12,696/29,670 = 29,670/x
  3. Step 3: Cross multiply
    12,696x = 29,670 × 29,670
  4. Step 4: Simplify right side
    12,696x = 880,308,900
  5. Step 5: Solve for x
    x = 880,308,900/12,696
  6. Step 6: Final answer
    x = 69,337.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.