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Finding the Third Proportional to 5,572.50 and 7,245

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Solution

The third proportional to 5,572.50 and 7,245 is: 9,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.50 : 7,245 = 7,245 : x
  2. Step 2: Convert to fraction form
    5,572.50/7,245 = 7,245/x
  3. Step 3: Cross multiply
    5,572.50x = 7,245 × 7,245
  4. Step 4: Simplify right side
    5,572.50x = 52,490,025
  5. Step 5: Solve for x
    x = 52,490,025/5,572.50
  6. Step 6: Final answer
    x = 9,419.48

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.