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Finding the Third Proportional to 31,195.50 and 47,055

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Solution

The third proportional to 31,195.50 and 47,055 is: 70,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195.50 : 47,055 = 47,055 : x
  2. Step 2: Convert to fraction form
    31,195.50/47,055 = 47,055/x
  3. Step 3: Cross multiply
    31,195.50x = 47,055 × 47,055
  4. Step 4: Simplify right side
    31,195.50x = 2,214,173,025
  5. Step 5: Solve for x
    x = 2,214,173,025/31,195.50
  6. Step 6: Final answer
    x = 70,977.32

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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.