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Finding the Third Proportional to 20,117 and 28,870

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Solution

The third proportional to 20,117 and 28,870 is: 41,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117 : 28,870 = 28,870 : x
  2. Step 2: Convert to fraction form
    20,117/28,870 = 28,870/x
  3. Step 3: Cross multiply
    20,117x = 28,870 × 28,870
  4. Step 4: Simplify right side
    20,117x = 833,476,900
  5. Step 5: Solve for x
    x = 833,476,900/20,117
  6. Step 6: Final answer
    x = 41,431.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.