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Finding the Third Proportional to 30,343 and 47,497

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Solution

The third proportional to 30,343 and 47,497 is: 74,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343 : 47,497 = 47,497 : x
  2. Step 2: Convert to fraction form
    30,343/47,497 = 47,497/x
  3. Step 3: Cross multiply
    30,343x = 47,497 × 47,497
  4. Step 4: Simplify right side
    30,343x = 2,255,965,009
  5. Step 5: Solve for x
    x = 2,255,965,009/30,343
  6. Step 6: Final answer
    x = 74,348.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.