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Finding the Third Proportional to 30,815 and 47,581

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Solution

The third proportional to 30,815 and 47,581 is: 73,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,815 : 47,581 = 47,581 : x
  2. Step 2: Convert to fraction form
    30,815/47,581 = 47,581/x
  3. Step 3: Cross multiply
    30,815x = 47,581 × 47,581
  4. Step 4: Simplify right side
    30,815x = 2,263,951,561
  5. Step 5: Solve for x
    x = 2,263,951,561/30,815
  6. Step 6: Final answer
    x = 73,469.14

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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.