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Finding the Third Proportional to 31,512 and 47,046

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Solution

The third proportional to 31,512 and 47,046 is: 70,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512 : 47,046 = 47,046 : x
  2. Step 2: Convert to fraction form
    31,512/47,046 = 47,046/x
  3. Step 3: Cross multiply
    31,512x = 47,046 × 47,046
  4. Step 4: Simplify right side
    31,512x = 2,213,326,116
  5. Step 5: Solve for x
    x = 2,213,326,116/31,512
  6. Step 6: Final answer
    x = 70,237.56

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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.