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Finding the Third Proportional to 5,632.50 and 7,476

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Solution

The third proportional to 5,632.50 and 7,476 is: 9,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.50 : 7,476 = 7,476 : x
  2. Step 2: Convert to fraction form
    5,632.50/7,476 = 7,476/x
  3. Step 3: Cross multiply
    5,632.50x = 7,476 × 7,476
  4. Step 4: Simplify right side
    5,632.50x = 55,890,576
  5. Step 5: Solve for x
    x = 55,890,576/5,632.50
  6. Step 6: Final answer
    x = 9,922.87

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.