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Finding the Third Proportional to 31,064 and 47,176

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Solution

The third proportional to 31,064 and 47,176 is: 71,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064 : 47,176 = 47,176 : x
  2. Step 2: Convert to fraction form
    31,064/47,176 = 47,176/x
  3. Step 3: Cross multiply
    31,064x = 47,176 × 47,176
  4. Step 4: Simplify right side
    31,064x = 2,225,574,976
  5. Step 5: Solve for x
    x = 2,225,574,976/31,064
  6. Step 6: Final answer
    x = 71,644.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.