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Finding the Third Proportional to 6,065.63 and 8,561.63

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Solution

The third proportional to 6,065.63 and 8,561.63 is: 12,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.63 : 8,561.63 = 8,561.63 : x
  2. Step 2: Convert to fraction form
    6,065.63/8,561.63 = 8,561.63/x
  3. Step 3: Cross multiply
    6,065.63x = 8,561.63 × 8,561.63
  4. Step 4: Simplify right side
    6,065.63x = 73,301,422.64
  5. Step 5: Solve for x
    x = 73,301,422.64/6,065.63
  6. Step 6: Final answer
    x = 12,084.73

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.