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Finding the Third Proportional to 6,020.44 and 7,988.34

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Solution

The third proportional to 6,020.44 and 7,988.34 is: 10,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020.44 : 7,988.34 = 7,988.34 : x
  2. Step 2: Convert to fraction form
    6,020.44/7,988.34 = 7,988.34/x
  3. Step 3: Cross multiply
    6,020.44x = 7,988.34 × 7,988.34
  4. Step 4: Simplify right side
    6,020.44x = 63,813,635.87
  5. Step 5: Solve for x
    x = 63,813,635.87/6,020.44
  6. Step 6: Final answer
    x = 10,599.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.