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Finding the Third Proportional to 6,315.75 and 8,583.75

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Solution

The third proportional to 6,315.75 and 8,583.75 is: 11,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.75 : 8,583.75 = 8,583.75 : x
  2. Step 2: Convert to fraction form
    6,315.75/8,583.75 = 8,583.75/x
  3. Step 3: Cross multiply
    6,315.75x = 8,583.75 × 8,583.75
  4. Step 4: Simplify right side
    6,315.75x = 73,680,764.06
  5. Step 5: Solve for x
    x = 73,680,764.06/6,315.75
  6. Step 6: Final answer
    x = 11,666.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.