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Finding the Third Proportional to 8,223 and 17,842.50

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Solution

The third proportional to 8,223 and 17,842.50 is: 38,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223 : 17,842.50 = 17,842.50 : x
  2. Step 2: Convert to fraction form
    8,223/17,842.50 = 17,842.50/x
  3. Step 3: Cross multiply
    8,223x = 17,842.50 × 17,842.50
  4. Step 4: Simplify right side
    8,223x = 318,354,806.25
  5. Step 5: Solve for x
    x = 318,354,806.25/8,223
  6. Step 6: Final answer
    x = 38,715.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.