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Finding the Third Proportional to 20,117 and 46,769

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Solution

The third proportional to 20,117 and 46,769 is: 108,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117 : 46,769 = 46,769 : x
  2. Step 2: Convert to fraction form
    20,117/46,769 = 46,769/x
  3. Step 3: Cross multiply
    20,117x = 46,769 × 46,769
  4. Step 4: Simplify right side
    20,117x = 2,187,339,361
  5. Step 5: Solve for x
    x = 2,187,339,361/20,117
  6. Step 6: Final answer
    x = 108,730.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.