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Finding the Third Proportional to 29,857 and 44,631

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Solution

The third proportional to 29,857 and 44,631 is: 66,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857 : 44,631 = 44,631 : x
  2. Step 2: Convert to fraction form
    29,857/44,631 = 44,631/x
  3. Step 3: Cross multiply
    29,857x = 44,631 × 44,631
  4. Step 4: Simplify right side
    29,857x = 1,991,926,161
  5. Step 5: Solve for x
    x = 1,991,926,161/29,857
  6. Step 6: Final answer
    x = 66,715.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.