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Finding the Third Proportional to 31,114 and 47,852

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Solution

The third proportional to 31,114 and 47,852 is: 73,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,114 : 47,852 = 47,852 : x
  2. Step 2: Convert to fraction form
    31,114/47,852 = 47,852/x
  3. Step 3: Cross multiply
    31,114x = 47,852 × 47,852
  4. Step 4: Simplify right side
    31,114x = 2,289,813,904
  5. Step 5: Solve for x
    x = 2,289,813,904/31,114
  6. Step 6: Final answer
    x = 73,594.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.