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Finding the Third Proportional to 8,940.75 and 10,587.75

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Solution

The third proportional to 8,940.75 and 10,587.75 is: 12,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.75 : 10,587.75 = 10,587.75 : x
  2. Step 2: Convert to fraction form
    8,940.75/10,587.75 = 10,587.75/x
  3. Step 3: Cross multiply
    8,940.75x = 10,587.75 × 10,587.75
  4. Step 4: Simplify right side
    8,940.75x = 112,100,450.06
  5. Step 5: Solve for x
    x = 112,100,450.06/8,940.75
  6. Step 6: Final answer
    x = 12,538.15

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.