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Finding the Third Proportional to 27,484 and 44,252

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Solution

The third proportional to 27,484 and 44,252 is: 71,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,484 : 44,252 = 44,252 : x
  2. Step 2: Convert to fraction form
    27,484/44,252 = 44,252/x
  3. Step 3: Cross multiply
    27,484x = 44,252 × 44,252
  4. Step 4: Simplify right side
    27,484x = 1,958,239,504
  5. Step 5: Solve for x
    x = 1,958,239,504/27,484
  6. Step 6: Final answer
    x = 71,250.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.