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Finding the Third Proportional to 31,024 and 39,816

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Solution

The third proportional to 31,024 and 39,816 is: 51,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024 : 39,816 = 39,816 : x
  2. Step 2: Convert to fraction form
    31,024/39,816 = 39,816/x
  3. Step 3: Cross multiply
    31,024x = 39,816 × 39,816
  4. Step 4: Simplify right side
    31,024x = 1,585,313,856
  5. Step 5: Solve for x
    x = 1,585,313,856/31,024
  6. Step 6: Final answer
    x = 51,099.60

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.