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Finding the Third Proportional to 30,754 and 47,015

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Solution

The third proportional to 30,754 and 47,015 is: 71,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754 : 47,015 = 47,015 : x
  2. Step 2: Convert to fraction form
    30,754/47,015 = 47,015/x
  3. Step 3: Cross multiply
    30,754x = 47,015 × 47,015
  4. Step 4: Simplify right side
    30,754x = 2,210,410,225
  5. Step 5: Solve for x
    x = 2,210,410,225/30,754
  6. Step 6: Final answer
    x = 71,873.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.