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Finding the Third Proportional to 31,108 and 42,054

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Solution

The third proportional to 31,108 and 42,054 is: 56,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108 : 42,054 = 42,054 : x
  2. Step 2: Convert to fraction form
    31,108/42,054 = 42,054/x
  3. Step 3: Cross multiply
    31,108x = 42,054 × 42,054
  4. Step 4: Simplify right side
    31,108x = 1,768,538,916
  5. Step 5: Solve for x
    x = 1,768,538,916/31,108
  6. Step 6: Final answer
    x = 56,851.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.