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Finding the Third Proportional to 14,327 and 31,138

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Solution

The third proportional to 14,327 and 31,138 is: 67,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327 : 31,138 = 31,138 : x
  2. Step 2: Convert to fraction form
    14,327/31,138 = 31,138/x
  3. Step 3: Cross multiply
    14,327x = 31,138 × 31,138
  4. Step 4: Simplify right side
    14,327x = 969,575,044
  5. Step 5: Solve for x
    x = 969,575,044/14,327
  6. Step 6: Final answer
    x = 67,674.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.