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Finding the Third Proportional to 20,038 and 28,863

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Solution

The third proportional to 20,038 and 28,863 is: 41,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038 : 28,863 = 28,863 : x
  2. Step 2: Convert to fraction form
    20,038/28,863 = 28,863/x
  3. Step 3: Cross multiply
    20,038x = 28,863 × 28,863
  4. Step 4: Simplify right side
    20,038x = 833,072,769
  5. Step 5: Solve for x
    x = 833,072,769/20,038
  6. Step 6: Final answer
    x = 41,574.65

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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.