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Finding the Third Proportional to 29,696 and 64,034

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Solution

The third proportional to 29,696 and 64,034 is: 138,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696 : 64,034 = 64,034 : x
  2. Step 2: Convert to fraction form
    29,696/64,034 = 64,034/x
  3. Step 3: Cross multiply
    29,696x = 64,034 × 64,034
  4. Step 4: Simplify right side
    29,696x = 4,100,353,156
  5. Step 5: Solve for x
    x = 4,100,353,156/29,696
  6. Step 6: Final answer
    x = 138,077.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.