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Finding the Third Proportional to 6,013.50 and 8,192.25

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Solution

The third proportional to 6,013.50 and 8,192.25 is: 11,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.50 : 8,192.25 = 8,192.25 : x
  2. Step 2: Convert to fraction form
    6,013.50/8,192.25 = 8,192.25/x
  3. Step 3: Cross multiply
    6,013.50x = 8,192.25 × 8,192.25
  4. Step 4: Simplify right side
    6,013.50x = 67,112,960.06
  5. Step 5: Solve for x
    x = 67,112,960.06/6,013.50
  6. Step 6: Final answer
    x = 11,160.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.