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Finding the Third Proportional to 17,569 and 31,238

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Solution

The third proportional to 17,569 and 31,238 is: 55,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,569 : 31,238 = 31,238 : x
  2. Step 2: Convert to fraction form
    17,569/31,238 = 31,238/x
  3. Step 3: Cross multiply
    17,569x = 31,238 × 31,238
  4. Step 4: Simplify right side
    17,569x = 975,812,644
  5. Step 5: Solve for x
    x = 975,812,644/17,569
  6. Step 6: Final answer
    x = 55,541.73

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.