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Finding the Third Proportional to 28,484 and 44,016

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Solution

The third proportional to 28,484 and 44,016 is: 68,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,484 : 44,016 = 44,016 : x
  2. Step 2: Convert to fraction form
    28,484/44,016 = 44,016/x
  3. Step 3: Cross multiply
    28,484x = 44,016 × 44,016
  4. Step 4: Simplify right side
    28,484x = 1,937,408,256
  5. Step 5: Solve for x
    x = 1,937,408,256/28,484
  6. Step 6: Final answer
    x = 68,017.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.