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Finding the Third Proportional to 14,731 and 31,797

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Solution

The third proportional to 14,731 and 31,797 is: 68,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731 : 31,797 = 31,797 : x
  2. Step 2: Convert to fraction form
    14,731/31,797 = 31,797/x
  3. Step 3: Cross multiply
    14,731x = 31,797 × 31,797
  4. Step 4: Simplify right side
    14,731x = 1,011,049,209
  5. Step 5: Solve for x
    x = 1,011,049,209/14,731
  6. Step 6: Final answer
    x = 68,634.12

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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.