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Finding the Third Proportional to 8,012.25 and 10,087.88

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Solution

The third proportional to 8,012.25 and 10,087.88 is: 12,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.25 : 10,087.88 = 10,087.88 : x
  2. Step 2: Convert to fraction form
    8,012.25/10,087.88 = 10,087.88/x
  3. Step 3: Cross multiply
    8,012.25x = 10,087.88 × 10,087.88
  4. Step 4: Simplify right side
    8,012.25x = 101,765,222.02
  5. Step 5: Solve for x
    x = 101,765,222.02/8,012.25
  6. Step 6: Final answer
    x = 12,701.20

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.