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Finding the Third Proportional to 31,930 and 69,455

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Solution

The third proportional to 31,930 and 69,455 is: 151,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930 : 69,455 = 69,455 : x
  2. Step 2: Convert to fraction form
    31,930/69,455 = 69,455/x
  3. Step 3: Cross multiply
    31,930x = 69,455 × 69,455
  4. Step 4: Simplify right side
    31,930x = 4,823,997,025
  5. Step 5: Solve for x
    x = 4,823,997,025/31,930
  6. Step 6: Final answer
    x = 151,080.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.