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Finding the Third Proportional to 28,771 and 44,160

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Solution

The third proportional to 28,771 and 44,160 is: 67,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,771 : 44,160 = 44,160 : x
  2. Step 2: Convert to fraction form
    28,771/44,160 = 44,160/x
  3. Step 3: Cross multiply
    28,771x = 44,160 × 44,160
  4. Step 4: Simplify right side
    28,771x = 1,950,105,600
  5. Step 5: Solve for x
    x = 1,950,105,600/28,771
  6. Step 6: Final answer
    x = 67,780.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.