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Finding the Third Proportional to 6,160.50 and 8,086.50

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Solution

The third proportional to 6,160.50 and 8,086.50 is: 10,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.50 : 8,086.50 = 8,086.50 : x
  2. Step 2: Convert to fraction form
    6,160.50/8,086.50 = 8,086.50/x
  3. Step 3: Cross multiply
    6,160.50x = 8,086.50 × 8,086.50
  4. Step 4: Simplify right side
    6,160.50x = 65,391,482.25
  5. Step 5: Solve for x
    x = 65,391,482.25/6,160.50
  6. Step 6: Final answer
    x = 10,614.64

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.