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Finding the Third Proportional to 31,157 and 46,775

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Solution

The third proportional to 31,157 and 46,775 is: 70,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157 : 46,775 = 46,775 : x
  2. Step 2: Convert to fraction form
    31,157/46,775 = 46,775/x
  3. Step 3: Cross multiply
    31,157x = 46,775 × 46,775
  4. Step 4: Simplify right side
    31,157x = 2,187,900,625
  5. Step 5: Solve for x
    x = 2,187,900,625/31,157
  6. Step 6: Final answer
    x = 70,221.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.