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Finding the Third Proportional to 31,756 and 47,574

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Solution

The third proportional to 31,756 and 47,574 is: 71,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756 : 47,574 = 47,574 : x
  2. Step 2: Convert to fraction form
    31,756/47,574 = 47,574/x
  3. Step 3: Cross multiply
    31,756x = 47,574 × 47,574
  4. Step 4: Simplify right side
    31,756x = 2,263,285,476
  5. Step 5: Solve for x
    x = 2,263,285,476/31,756
  6. Step 6: Final answer
    x = 71,271.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.