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Finding the Third Proportional to 29,349 and 63,936

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Solution

The third proportional to 29,349 and 63,936 is: 139,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,349 : 63,936 = 63,936 : x
  2. Step 2: Convert to fraction form
    29,349/63,936 = 63,936/x
  3. Step 3: Cross multiply
    29,349x = 63,936 × 63,936
  4. Step 4: Simplify right side
    29,349x = 4,087,812,096
  5. Step 5: Solve for x
    x = 4,087,812,096/29,349
  6. Step 6: Final answer
    x = 139,282.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.