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Finding the Third Proportional to 30,847 and 46,498

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Solution

The third proportional to 30,847 and 46,498 is: 70,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847 : 46,498 = 46,498 : x
  2. Step 2: Convert to fraction form
    30,847/46,498 = 46,498/x
  3. Step 3: Cross multiply
    30,847x = 46,498 × 46,498
  4. Step 4: Simplify right side
    30,847x = 2,162,064,004
  5. Step 5: Solve for x
    x = 2,162,064,004/30,847
  6. Step 6: Final answer
    x = 70,089.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.