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Finding the Third Proportional to 31,270 and 63,816

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Solution

The third proportional to 31,270 and 63,816 is: 130,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,270 : 63,816 = 63,816 : x
  2. Step 2: Convert to fraction form
    31,270/63,816 = 63,816/x
  3. Step 3: Cross multiply
    31,270x = 63,816 × 63,816
  4. Step 4: Simplify right side
    31,270x = 4,072,481,856
  5. Step 5: Solve for x
    x = 4,072,481,856/31,270
  6. Step 6: Final answer
    x = 130,236.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.