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Finding the Third Proportional to 30,474 and 47,763

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Solution

The third proportional to 30,474 and 47,763 is: 74,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474 : 47,763 = 47,763 : x
  2. Step 2: Convert to fraction form
    30,474/47,763 = 47,763/x
  3. Step 3: Cross multiply
    30,474x = 47,763 × 47,763
  4. Step 4: Simplify right side
    30,474x = 2,281,304,169
  5. Step 5: Solve for x
    x = 2,281,304,169/30,474
  6. Step 6: Final answer
    x = 74,860.67

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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.