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Finding the Third Proportional to 31,173 and 47,087.25

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Solution

The third proportional to 31,173 and 47,087.25 is: 71,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,173 : 47,087.25 = 47,087.25 : x
  2. Step 2: Convert to fraction form
    31,173/47,087.25 = 47,087.25/x
  3. Step 3: Cross multiply
    31,173x = 47,087.25 × 47,087.25
  4. Step 4: Simplify right side
    31,173x = 2,217,209,112.56
  5. Step 5: Solve for x
    x = 2,217,209,112.56/31,173
  6. Step 6: Final answer
    x = 71,125.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.