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Finding the Third Proportional to 14,144 and 31,111.75

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Solution

The third proportional to 14,144 and 31,111.75 is: 68,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144 : 31,111.75 = 31,111.75 : x
  2. Step 2: Convert to fraction form
    14,144/31,111.75 = 31,111.75/x
  3. Step 3: Cross multiply
    14,144x = 31,111.75 × 31,111.75
  4. Step 4: Simplify right side
    14,144x = 967,940,988.06
  5. Step 5: Solve for x
    x = 967,940,988.06/14,144
  6. Step 6: Final answer
    x = 68,434.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.