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Finding the Third Proportional to 6,957 and 9,085.50

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Solution

The third proportional to 6,957 and 9,085.50 is: 11,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957 : 9,085.50 = 9,085.50 : x
  2. Step 2: Convert to fraction form
    6,957/9,085.50 = 9,085.50/x
  3. Step 3: Cross multiply
    6,957x = 9,085.50 × 9,085.50
  4. Step 4: Simplify right side
    6,957x = 82,546,310.25
  5. Step 5: Solve for x
    x = 82,546,310.25/6,957
  6. Step 6: Final answer
    x = 11,865.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.