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Finding the Third Proportional to 14,119 and 31,007

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Solution

The third proportional to 14,119 and 31,007 is: 68,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119 : 31,007 = 31,007 : x
  2. Step 2: Convert to fraction form
    14,119/31,007 = 31,007/x
  3. Step 3: Cross multiply
    14,119x = 31,007 × 31,007
  4. Step 4: Simplify right side
    14,119x = 961,434,049
  5. Step 5: Solve for x
    x = 961,434,049/14,119
  6. Step 6: Final answer
    x = 68,095.05

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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.