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Finding the Third Proportional to 30,500 and 46,632

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Solution

The third proportional to 30,500 and 46,632 is: 71,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500 : 46,632 = 46,632 : x
  2. Step 2: Convert to fraction form
    30,500/46,632 = 46,632/x
  3. Step 3: Cross multiply
    30,500x = 46,632 × 46,632
  4. Step 4: Simplify right side
    30,500x = 2,174,543,424
  5. Step 5: Solve for x
    x = 2,174,543,424/30,500
  6. Step 6: Final answer
    x = 71,296.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.