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Finding the Third Proportional to 5,269.50 and 7,938.84

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Solution

The third proportional to 5,269.50 and 7,938.84 is: 11,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.50 : 7,938.84 = 7,938.84 : x
  2. Step 2: Convert to fraction form
    5,269.50/7,938.84 = 7,938.84/x
  3. Step 3: Cross multiply
    5,269.50x = 7,938.84 × 7,938.84
  4. Step 4: Simplify right side
    5,269.50x = 63,025,240.09
  5. Step 5: Solve for x
    x = 63,025,240.09/5,269.50
  6. Step 6: Final answer
    x = 11,960.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.