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Finding the Third Proportional to 4,165 and 6,332.50

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Solution

The third proportional to 4,165 and 6,332.50 is: 9,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165 : 6,332.50 = 6,332.50 : x
  2. Step 2: Convert to fraction form
    4,165/6,332.50 = 6,332.50/x
  3. Step 3: Cross multiply
    4,165x = 6,332.50 × 6,332.50
  4. Step 4: Simplify right side
    4,165x = 40,100,556.25
  5. Step 5: Solve for x
    x = 40,100,556.25/4,165
  6. Step 6: Final answer
    x = 9,627.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.