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Finding the Third Proportional to 31,197 and 45,699

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Solution

The third proportional to 31,197 and 45,699 is: 66,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197 : 45,699 = 45,699 : x
  2. Step 2: Convert to fraction form
    31,197/45,699 = 45,699/x
  3. Step 3: Cross multiply
    31,197x = 45,699 × 45,699
  4. Step 4: Simplify right side
    31,197x = 2,088,398,601
  5. Step 5: Solve for x
    x = 2,088,398,601/31,197
  6. Step 6: Final answer
    x = 66,942.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.