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Finding the Third Proportional to 14,117 and 31,003

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Solution

The third proportional to 14,117 and 31,003 is: 68,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117 : 31,003 = 31,003 : x
  2. Step 2: Convert to fraction form
    14,117/31,003 = 31,003/x
  3. Step 3: Cross multiply
    14,117x = 31,003 × 31,003
  4. Step 4: Simplify right side
    14,117x = 961,186,009
  5. Step 5: Solve for x
    x = 961,186,009/14,117
  6. Step 6: Final answer
    x = 68,087.13

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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.