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Finding the Third Proportional to 8,312.50 and 18,215

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Solution

The third proportional to 8,312.50 and 18,215 is: 39,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.50 : 18,215 = 18,215 : x
  2. Step 2: Convert to fraction form
    8,312.50/18,215 = 18,215/x
  3. Step 3: Cross multiply
    8,312.50x = 18,215 × 18,215
  4. Step 4: Simplify right side
    8,312.50x = 331,786,225
  5. Step 5: Solve for x
    x = 331,786,225/8,312.50
  6. Step 6: Final answer
    x = 39,914.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.