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Finding the Third Proportional to 17,619 and 23,488.50

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Solution

The third proportional to 17,619 and 23,488.50 is: 31,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619 : 23,488.50 = 23,488.50 : x
  2. Step 2: Convert to fraction form
    17,619/23,488.50 = 23,488.50/x
  3. Step 3: Cross multiply
    17,619x = 23,488.50 × 23,488.50
  4. Step 4: Simplify right side
    17,619x = 551,709,632.25
  5. Step 5: Solve for x
    x = 551,709,632.25/17,619
  6. Step 6: Final answer
    x = 31,313.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.