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Finding the Third Proportional to 30,147 and 46,449

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Solution

The third proportional to 30,147 and 46,449 is: 71,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147 : 46,449 = 46,449 : x
  2. Step 2: Convert to fraction form
    30,147/46,449 = 46,449/x
  3. Step 3: Cross multiply
    30,147x = 46,449 × 46,449
  4. Step 4: Simplify right side
    30,147x = 2,157,509,601
  5. Step 5: Solve for x
    x = 2,157,509,601/30,147
  6. Step 6: Final answer
    x = 71,566.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.