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Finding the Third Proportional to 29,497 and 44,248

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Solution

The third proportional to 29,497 and 44,248 is: 66,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,497 : 44,248 = 44,248 : x
  2. Step 2: Convert to fraction form
    29,497/44,248 = 44,248/x
  3. Step 3: Cross multiply
    29,497x = 44,248 × 44,248
  4. Step 4: Simplify right side
    29,497x = 1,957,885,504
  5. Step 5: Solve for x
    x = 1,957,885,504/29,497
  6. Step 6: Final answer
    x = 66,375.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.