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Finding the Third Proportional to 29,336 and 39,858

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Solution

The third proportional to 29,336 and 39,858 is: 54,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,336 : 39,858 = 39,858 : x
  2. Step 2: Convert to fraction form
    29,336/39,858 = 39,858/x
  3. Step 3: Cross multiply
    29,336x = 39,858 × 39,858
  4. Step 4: Simplify right side
    29,336x = 1,588,660,164
  5. Step 5: Solve for x
    x = 1,588,660,164/29,336
  6. Step 6: Final answer
    x = 54,153.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.