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Finding the Third Proportional to 7,110.50 and 15,311

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Solution

The third proportional to 7,110.50 and 15,311 is: 32,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.50 : 15,311 = 15,311 : x
  2. Step 2: Convert to fraction form
    7,110.50/15,311 = 15,311/x
  3. Step 3: Cross multiply
    7,110.50x = 15,311 × 15,311
  4. Step 4: Simplify right side
    7,110.50x = 234,426,721
  5. Step 5: Solve for x
    x = 234,426,721/7,110.50
  6. Step 6: Final answer
    x = 32,969.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.