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Finding the Third Proportional to 6,309.14 and 8,846.72

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Solution

The third proportional to 6,309.14 and 8,846.72 is: 12,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.14 : 8,846.72 = 8,846.72 : x
  2. Step 2: Convert to fraction form
    6,309.14/8,846.72 = 8,846.72/x
  3. Step 3: Cross multiply
    6,309.14x = 8,846.72 × 8,846.72
  4. Step 4: Simplify right side
    6,309.14x = 78,264,432.64
  5. Step 5: Solve for x
    x = 78,264,432.64/6,309.14
  6. Step 6: Final answer
    x = 12,404.93

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.