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Finding the Third Proportional to 30,471 and 48,660

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Solution

The third proportional to 30,471 and 48,660 is: 77,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471 : 48,660 = 48,660 : x
  2. Step 2: Convert to fraction form
    30,471/48,660 = 48,660/x
  3. Step 3: Cross multiply
    30,471x = 48,660 × 48,660
  4. Step 4: Simplify right side
    30,471x = 2,367,795,600
  5. Step 5: Solve for x
    x = 2,367,795,600/30,471
  6. Step 6: Final answer
    x = 77,706.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.