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Finding the Third Proportional to 14,800 and 31,971

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Solution

The third proportional to 14,800 and 31,971 is: 69,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800 : 31,971 = 31,971 : x
  2. Step 2: Convert to fraction form
    14,800/31,971 = 31,971/x
  3. Step 3: Cross multiply
    14,800x = 31,971 × 31,971
  4. Step 4: Simplify right side
    14,800x = 1,022,144,841
  5. Step 5: Solve for x
    x = 1,022,144,841/14,800
  6. Step 6: Final answer
    x = 69,063.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.