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Finding the Third Proportional to 28,786 and 38,887

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Solution

The third proportional to 28,786 and 38,887 is: 52,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,786 : 38,887 = 38,887 : x
  2. Step 2: Convert to fraction form
    28,786/38,887 = 38,887/x
  3. Step 3: Cross multiply
    28,786x = 38,887 × 38,887
  4. Step 4: Simplify right side
    28,786x = 1,512,198,769
  5. Step 5: Solve for x
    x = 1,512,198,769/28,786
  6. Step 6: Final answer
    x = 52,532.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.