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Finding the Third Proportional to 19,017 and 31,009

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Solution

The third proportional to 19,017 and 31,009 is: 50,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,017 : 31,009 = 31,009 : x
  2. Step 2: Convert to fraction form
    19,017/31,009 = 31,009/x
  3. Step 3: Cross multiply
    19,017x = 31,009 × 31,009
  4. Step 4: Simplify right side
    19,017x = 961,558,081
  5. Step 5: Solve for x
    x = 961,558,081/19,017
  6. Step 6: Final answer
    x = 50,563.08

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.