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Finding the Third Proportional to 30,387 and 46,645

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Solution

The third proportional to 30,387 and 46,645 is: 71,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,387 : 46,645 = 46,645 : x
  2. Step 2: Convert to fraction form
    30,387/46,645 = 46,645/x
  3. Step 3: Cross multiply
    30,387x = 46,645 × 46,645
  4. Step 4: Simplify right side
    30,387x = 2,175,756,025
  5. Step 5: Solve for x
    x = 2,175,756,025/30,387
  6. Step 6: Final answer
    x = 71,601.54

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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.