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Finding the Third Proportional to 7,570.50 and 11,423.25

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Solution

The third proportional to 7,570.50 and 11,423.25 is: 17,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.50 : 11,423.25 = 11,423.25 : x
  2. Step 2: Convert to fraction form
    7,570.50/11,423.25 = 11,423.25/x
  3. Step 3: Cross multiply
    7,570.50x = 11,423.25 × 11,423.25
  4. Step 4: Simplify right side
    7,570.50x = 130,490,640.56
  5. Step 5: Solve for x
    x = 130,490,640.56/7,570.50
  6. Step 6: Final answer
    x = 17,236.73

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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.