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Finding the Third Proportional to 6,367 and 9,811.50

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Solution

The third proportional to 6,367 and 9,811.50 is: 15,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367 : 9,811.50 = 9,811.50 : x
  2. Step 2: Convert to fraction form
    6,367/9,811.50 = 9,811.50/x
  3. Step 3: Cross multiply
    6,367x = 9,811.50 × 9,811.50
  4. Step 4: Simplify right side
    6,367x = 96,265,532.25
  5. Step 5: Solve for x
    x = 96,265,532.25/6,367
  6. Step 6: Final answer
    x = 15,119.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.