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Finding the Third Proportional to 46,633 and 100,635

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Solution

The third proportional to 46,633 and 100,635 is: 217,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,633 : 100,635 = 100,635 : x
  2. Step 2: Convert to fraction form
    46,633/100,635 = 100,635/x
  3. Step 3: Cross multiply
    46,633x = 100,635 × 100,635
  4. Step 4: Simplify right side
    46,633x = 10,127,403,225
  5. Step 5: Solve for x
    x = 10,127,403,225/46,633
  6. Step 6: Final answer
    x = 217,172.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.