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Finding the Third Proportional to 31,488 and 47,064

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Solution

The third proportional to 31,488 and 47,064 is: 70,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488 : 47,064 = 47,064 : x
  2. Step 2: Convert to fraction form
    31,488/47,064 = 47,064/x
  3. Step 3: Cross multiply
    31,488x = 47,064 × 47,064
  4. Step 4: Simplify right side
    31,488x = 2,215,020,096
  5. Step 5: Solve for x
    x = 2,215,020,096/31,488
  6. Step 6: Final answer
    x = 70,344.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.