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Finding the Third Proportional to 5,367 and 7,597.50

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Solution

The third proportional to 5,367 and 7,597.50 is: 10,754.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367 : 7,597.50 = 7,597.50 : x
  2. Step 2: Convert to fraction form
    5,367/7,597.50 = 7,597.50/x
  3. Step 3: Cross multiply
    5,367x = 7,597.50 × 7,597.50
  4. Step 4: Simplify right side
    5,367x = 57,722,006.25
  5. Step 5: Solve for x
    x = 57,722,006.25/5,367
  6. Step 6: Final answer
    x = 10,754.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.